Photos of the event can be found on CMSA’s Blog.
Organizers:
* This event is sponsored by CMSA Harvard University.
Monday, March 27
Time  Speaker  Title 
8:30am – 9:00am  Breakfast  
9:00am – 10:00am  Kieron Burke, University of California, Irvine  Background in DFT and electronic structure calculations 
10:00am – 11:00am  Kieron Burke, University of California, Irvine 
The density functionals machines can learn 
11:00am – 12:00pm  Sadasivan Shankar, Harvard University  A few key principles for applying Machine Learning to Materials (or Complex Systems) — Scientific and Engineering Perspectives 
Tuesday, March 28
Time  Speaker  Title 
8:30am – 9:00am  Breakfast  
9:00am – 10:00am  Ryan Adams, Harvard  TBA 
10:00am – 11:00am  Gábor Csányi, University of Cambridge 
Interatomic potentials using machine learning: accuracy, transferability and chemical diversity 
11:00am – 1:00pm  Lunch Break  
1:00pm – 2:00pm  Evan Reed, Stanford University  TBA 
Wednesday, March 29
Time  Speaker  Title 
8:30am – 9:00am  Breakfast  
9:00am – 10:00am  Patrick Riley, Google  The Message Passing Neural Network framework and its application to molecular property prediction 
10:00am – 11:00am  Jörg Behler, University of Göttingen  TBA 
11:00am – 12:00pm  Ekin Doğuş Çubuk, Stanford Univers  TBA 
4:00pm  Leslie Greengard, Courant Institute  Inverse problems in acoustic scattering and cryoelectron microscopy
CMSA Colloquium 
Thursday, March 30
Time  Speaker  Title 
8:30am – 9:00am  Breakfast  
9:00am – 10:00am  Matthias Rupp, Fitz Haber Institute of the Max Planck Society  TBA 
10:00am – 11:00am  Petros Koumoutsakos, Radcliffe Institute for Advanced Study, Harvard  TBA 
11:00am – 1:00pm  Lunch Break  
1:00pm – 2:00pm  Dennis Sheberla, Harvard University  Rapid discovery of functional molecules by a highthroughput virtual screening 
Registration and additional information on the conference can be found at http://abel.harvard.edu/jdg/index.html.
Confirmed Speakers
* This event is cosponsored by Lehigh University and partially supported by the National Science Foundation.
]]>This event is open and free. If you would like to attend, please register here to help us keep a headcount. A list of lodging options convenient to the Center can also be found on our recommended lodgings page.
Speakers:
Orr Ashenberg, Fred Hutchinson Cancer Research Center
John Barton, Massachusetts Institute of Technology
Simona Cocco, Laboratoire de Physique Statistique de l’ENS
Sean Eddy, Harvard University
Efthimios Kaxiras, Harvard University
Michael Laub, Massachusetts Institute of Technology
Debora S. Marks, Harvard University
Govind Menon, Brown University
Rémi Monasson, Laboratoire de Physique Théorique de l’ENS
Andrew Murray, Harvard University
Ilya Nemenman, Emory College
Chris Sander, DanaFarber Cancer Institute, Harvard Medical School
Dave Thirumalai, University of Texas at Austin
Martin Weigt, IBPS, Université Pierre et Marie Curie
Matthieu Wyart, EPFL
More speakers will be confirmed soon.
May 1, Monday
Time  Speaker  Topic 
9:0010:00am  Sean Eddy  TBA 
10:0011:00am  Mike Laub  TBA 
11:00am12:00pm  Ilya Nemenman  TBA 
Time  Speaker  Topic 
9:0010:00am  Orr Ashenberg  TBA 
10:0011:00am  Debora Marks  TBA 
11:00am12:00pm  Martin Weigt  TBA 
4:30pm5:30pm  Simona Cocco  CMSA Colloquia 
Time  Speaker  Topic 
9:0010:00am  Andrew Murray  TBA 
10:0011:00am  Matthieu Wyart  TBA 
11:00am12:00pm  Rémi Monasson  TBA 
Time  Speaker  Topic 
9:0010:00am  David Thirumalai  TBA 
10:0011:00am  Chris Sander  TBA 
11:00am12:00pm  John Barton  TBA 
Organizers:
Michael Brenner, Lucy Colwell, Elena Rivas, Eugene Shakhnovich
* This event is sponsored by CMSA Harvard University.
Confirmed speakers:
The conference is coorganized by Denis Auroux and Victor Guillemin. Additional information on the conference will be announced closer to the event.
Time  Speaker  Topic 
8:30am – 9:0am  Breakfast  
9:00am – 10:00am  Jonathan Weitsman  Title: On the geometric quantization of (some) Poisson manifolds 
10:30am – 11:30am  Eckhard Meinrenken  Title: On Hamiltonian loop group spaces
Abstract: Let G be a compact Lie group. We explain a construction of an LGequivariant spinor module over any Hamiltonian loop group space with proper moment map. It may be regarded as its `canonical spinc structure’. We show how to reduce to finite dimensions, resulting in actual spins structure on transversals, as well as twisted spinc structures for the associated quasihamiltonian space. This is based on joint work with Yiannis Loizides and Yanli Song. 
11:30am – 1:30pm  Break  
1:30pm – 2:30pm  Ana Rita Pires  Title: Infinite staircases in symplectic embedding problems
Abstract: McDuff and Schlenk studied an embedding capacity function, which describes when a 4dimensional ellipsoid can symplectically embed into a 4ball. The graph of this function includes an infinite staircase related to the odd index Fibonacci numbers. Infinite staircases have been shown to exist also in the graphs of the embedding capacity functions when the target manifold is a polydisk or the ellipsoid E(2,3). I will describe how we use ECH capacities, lattice point counts and Ehrhart theory to show that infinite staircases exist for these and a few other target manifolds, as well as to conjecture that these are the only such target manifolds. This is a joint work with CristofaroGardiner, Holm and Mandini. 
3:00pm – 4:00pm  Sobhan Seyfaddini  Title: Rigidity of conjugacy classes in groups of areapreserving homeomorphisms
Abstract: Motivated by understanding the algebraic structure of groups of areapreserving homeomorphims F. Beguin, S. Crvoisier, and F. Le Roux were lead to the following question: Can the conjugacy class of a Hamiltonian homeomorphism be dense? We will show that one can rule out existence of dense conjugacy classes by simply counting fixed points. This is joint work with Le Roux and Viterbo. 
4:30pm – 5:30pm  Roger Casals  Title: Differential Algebra of Cubic Graphs Abstract: In this talk we will associate a combinatorial dgalgebra to a cubic planar graph. This algebra is defined by counting binary sequences, which we introduce, and we shall provide explicit computations and examples. From there we study the Legendrian surfaces behind these constructions, including Legendrian surgeries, the count of Morse flow trees involved in contact homology, and the relation to microlocal sheaves. Time permitting, I will explain a connection to spectral networks.Video 
June 6, Tuesday (Full day)
Time  Speaker  Topic 
8:30am – 9:00am  Breakfast  
9:00am – 10:00am  Alejandro Uribe  Title: Semiclassical wave functions associated with isotropic submanifolds of phase space
Abstract: After reviewing fundamental ideas on the quantumclassical correspondence, I will describe how to associate spaces of semiclassical wave functions to isotropic submanifolds of phase space satisfying a BohrSommerfeld condition. Such functions have symbols that are symplectic spinors, and they satisfy a symbol calculus under the action of quantum observables. This is the semiclassical version of the Hermite distributions of Boutet the Monvel and Guillemin, and it is joint work with Victor Guillemin and Zuoqin Wang. I will inlcude applications and open questions. 
10:30am – 11:30am  Alisa Keating  Title: Symplectomorphisms of exotic discs
Abstract: It is a theorem of Gromov that the group of compactly supported symplectomorphisms of R^4, equipped with the standard symplectic form, is contractible. While nothing is known in higher dimensions for the standard symplectic form, we show that for some exotic symplectic forms on R^{4n}, for all but finitely n, there exist compactly supported symplectomorphisms that are smoothly nontrivial. The principal ingredients are constructions of Milnor and Munkres, a symplectic and contact version of the Gromoll filtration, and Borman, Eliashberg and Murphy’s work on existence of overtwisted contact structures. Joint work with Roger Casals and Ivan Smith. 
11:30am – 1:30pm  Break  
1:30pm – 2:30pm  Chen He  Title: Morse theory on bsymplectic manifolds
Abstract: bsymplectic (or logsymplectic) manifolds are Poisson manifolds equipped with symplectic forms of logarithmic singularity. Following Guillemin, Miranda, Pires and Scott’s introduction of Hamiltonian group actions on bsymplectic manifolds, we will survey those classical results of Hamiltonian geometry to the bsymplectic case. 
3:00pm – 4:00pm  Yael Karshon  Title: Geometric quantization with metaplecticc structures
Abstract: I will present a variant of the KostantSouriau geometric quantization procedure that uses metaplecticc structures to incorporate the “half form correction” into the prequantization stage. This goes back to the late 1970s but it is not widely known and it has the potential to generalize and improve upon recent works on geometric quantization. 
The topic of the talks are as follows:
Date  Title  Abstract 
332017  Modularity of DT invariants on smooth K3 fibrations I  Motivated by Sduality modularity conjectures in string theory, we study the DonaldsonThomas invariants of 2dimensional sheaves inside a nonsingular threefold X. Our main case of study is when X is given by a smooth surface fibration over a curve with the canonical bundle of X pulled back from the base curve. We study the DonaldsonThomas invariants, as defined by Richard Thomas, of the 2dimensional Gieseker stable sheaves in X supported on the fibers. In case whereXis aK3 fibration, analogous to the GromovWitten theory formula established by MaulikPandharipande, we express these invariants in terms of the Euler characteristic of the Hilbert scheme of points on the fiber and the NoetherLefschetz numbers of the fibration, and prove that the invariants have modular properties. We are intending to go through these lectures with a relatively slow speed, that is: TheoremProof style, (so we will be less handwavy!) and we intend to establish some of the required background, e.g NoetherLefschetz theory, vector valuedmodular forms etc. 
382017  Modularity of DT invariants on smooth K3 fibrations II  Motivated by Sduality modularity conjectures in string theory, we study the DonaldsonThomas invariants of 2dimensional sheaves inside a nonsingular threefold X. Our main case of study is when X is given by a smooth surface fibration over a curve with the canonical bundle of X pulled back from the base curve. We study the DonaldsonThomas invariants, as defined by Richard Thomas, of the 2dimensional Gieseker stable sheaves in X supported on the fibers. In case whereXis aK3 fibration, analogous to the GromovWitten theory formula established by MaulikPandharipande, we express these invariants in terms of the Euler characteristic of the Hilbert scheme of points on the fiber and the NoetherLefschetz numbers of the fibration, and prove that the invariants have modular properties. We are intending to go through these lectures with a relatively slow speed, that is: TheoremProof style, (so we will be less handwavy!) and we intend to establish some of the required background, e.g NoetherLefschetz theory, vector valued modular forms etc. 
3102017  Conifold Transitions and modularity of DT invariants on Nodal fibrations 
Following lectures I and II we continue the discussion on the moduli space of shaves with two dimensional support on K3fibered threefolds, which can admit finitely many nodal (rational double point singularity at worst) fibers. We will use the conifold transitions and degeneration techniques in this case to relate the geometry of our moduli space and its enumerative invariants to the ones studied in lectures I, II over smooth K3fibrations.

452017  Stable pair PT invariants on smooth fibrations I  We study PandharipandeThomas’s stable pair theory on smooth K3 fibrations over curves with possibly nodal fibers. We describe stable pair invariants of the fiberwise irreducible curve classes in terms of KawaiYoshioka’s formula for the Euler characteristics of moduli spaces of stable pairs on K3 surfaces and NoetherLefschetz numbers of the fibration. 
472017  Stable pair PT invariants on smooth fibrations II

We study PandharipandeThomas’s stable pair theory on smooth K3 fibrations over curves with possibly nodal fibers. We describe stable pair invariants of the fiberwise irreducible curve classes in terms of KawaiYoshioka’s formula for the Euler characteristics of moduli spaces of stable pairs on K3 surfaces and NoetherLefschetz numbers of the fibration. 
4122017  Stable pair PT invariants on nodal fibrations: perverse sheaves, Wallcrossings, and an analog of fiberwise Tduality  Following lecture 4, we continue the study of stable pair invariants of K3fibered threefolds., We investigate the relation of these invariants with the perverse (noncommutative) stable pair invariants of the K3fibration. In the case that the fibration is a projective CalabiYau threefold, by means of wallcrossing techniques, we write the stable pair invariants in terms of the generalized DonaldsonThomas invariants of 2dimensional Gieseker semistable sheaves supported on the fibers. 
4142017  DT versus MNOP invariants and S_duality conjecture on general complete intersections  Motivated by Sduality modularity conjectures in string theory, we define new invariants counting a restricted class of twodimensional torsion sheaves, enumerating pairs Z⊂H in a Calabi–Yau threefold X. Here H is a member of a sufficiently positive linear system and Z is a onedimensional subscheme of it. The associated sheaf is the ideal sheaf of Z⊂H, pushed forward to X and considered as a certain Joyce–Song pair in the derived category of X. We express these invariants in terms of the MNOP invariants of X. 
4192017  Proof of Sduality conjecture on quintic threefold I  I will talk about an algebraicgeometric proof of the Sduality conjecture in superstring theory, made formerly by physicists Gaiotto, Strominger, Yin, regarding the modularity of DT invariants of sheaves supported on hyperplane sections of the quintic CalabiYau threefold. We use degeneration and localization techniques to reduce the threefold theory to a certain intersection theory over the relative Hilbert scheme of points on surfaces and then prove modularity. More precisely, we have proven that the generating series, associated to the top intersection numbers of the Hilbert scheme of points, relative to an effective divisor, on a smooth quasiprojective surface is a modular form. This is a generalization of the result of OkounkovCarlsson, where they used representation theory and the machinery of vertex operators to prove this statement for absolute Hilbert schemes. These intersection numbers eventually, together with the generating series of NoetherLefschetz numbers as I will explain, will provide the ingredients to achieve an algebraicgeometric proof of Sduality modularity conjecture. 
4282017  Proof of Sduality conjecture on Quintic threefold II  I will talk about an algebraicgeometric proof of the Sduality conjecture in superstring theory, made formerly by physicists Gaiotto, Strominger, Yin, regarding the modularity of DT invariants of sheaves supported on hyperplane sections of the quintic CalabiYau threefold. We use degeneration and localization techniques to reduce the threefold theory to a certain intersection theory over the relative Hilbert scheme of points on surfaces and then prove modularity. More precisely, we have proven that the generating series, associated to the top intersection numbers of the Hilbert scheme of points, relative to an effective divisor, on a smooth quasiprojective surface is a modular form. This is a generalization of the result of OkounkovCarlsson, where they used representation theory and the machinery of vertex operators to prove this statement for absolute Hilbert schemes. These intersection numbers eventually, together with the generating series of NoetherLefschetz numbers as I will explain, will provide the ingredients to achieve an algebraicgeometric proof of Sduality modularity conjecture. 
Titles, abstracts and schedule will be provided nearer to the event.
Dan Freed, UT Austin
Anton Kapustin, California Institute of Technology
Alexei Y. Kitaev, California Institute of Technology
Greg Moore, Rutgers University
Constantin Teleman, University of Oxford
Organizers:
Mike Hopkins, ShingTung Yau
* This event is sponsored by CMSA Harvard University.
Gerard Ben Arous, Courant Institute of Mathematical Sciences
Alex Bloemendal, Broad Institute
Arup Chakraburty, MIT
Zhou Fan, Stanford University
Alpha Lee, Harvard University
Matthew R. McKay, Hong Kong University of Science and Technology (HKUST)
David R. Nelson, Harvard University
Nick Patterson, Broad Institute
Marc Potters, Capital Fund management
Yasser Roudi, IAS
Tom Trogdon, UC Irvine
Organizers:
Michael Brenner, Lucy Colwell, Govind Menon, HorngTzer Yau
Schedule:
January 9 – Day 1  
9:30am – 10:00am  Breakfast & Opening remarks 
10:00am – 11:00am  Marc Potters, “Eigenvector overlaps and the estimation of large noisy matrices” 
11:00am – 12:00pm  Yasser Roudi 
12:00pm – 2:00pm  Lunch 
2:00pm  Afternoon Discussion 
January 10 – Day 2  
8:30am – 9:00am  Breakfast 
9:00am – 10:00am  Arup Chakraburty, “The mathematical analyses and biophysical reasons underlying why the prevalence of HIV strains and their relative fitness are simply correlated, and pose the challenge of building a general theory that encompasses other viruses where this is not true.” 
10:00am – 11:00am  Tom Trogdon, “On the average behavior of numerical algorithms” 
11:00am – 12:00pm  David R. Nelson, “NonHermitian Localization in Neural Networks” 
12:00pm – 2:00pm  Lunch 
2:00pm  Afternoon Discussion 
January 11 – Day 3  
8:30am – 9:00am  Breakfast 
9:00am – 10:00am  Nick Patterson 
10:00am – 11:00am  Lucy Colwell 
11:00am – 12:00pm  Alpha Lee 
12:00pm – 2:00pm  Lunch 
2:00pm4:00pm  Afternoon Discussion 
4:00pm  Gerard Ben Arous (Public Talk), “Complexity of random functions of many variables: from geometry to statistical physics and deep learning algorithms“ 
January 12 – Day 4  
8:30am – 9:00am  Breakfast 
9:00am – 10:00am  Govind Menon 
10:00am – 11:00am  Alex Bloemendal 
11:00am – 12:00pm  Zhou Fan, “Free probability, random matrices, and statistics” 
12:00pm – 2:00pm  Lunch 
2:00pm  Afternoon Discussion 
January 13 – Day 5  
8:30am – 9:00am  Breakfast 
9:00am – 12:00pm  Free for Working 
12:00pm – 2:00pm  Lunch 
2:00pm  Free for Working 
* This event is sponsored by CMSA Harvard University.
The minischool will consist of lectures by experts in geometry and analysis detailing important developments in the theory of nonlinear equations and their applications from the last 2030 years. The minischool is aimed at graduate students and young researchers working in geometry, analysis, physics and related fields.
December 3rd – Day 1  
9:00am – 10:30am  Cliff Taubes, “Compactness theorems in gauge theories” 
10:45am – 12:15pm  Valentino Tosatti, “Complex MongeAmpère Equations” 
12:15pm – 1:45pm  LUNCH 
1:45pm – 3:15pm  Pengfei Guan, “MongeAmpère type equations and related geometric problems” 
3:30pm – 5:00pm  Jared Speck, “Finitetime degeneration of hyperbolicity without blowup for solutions to quasilinear wave equations” 
December 4th – Day 2  
9:00am – 10:30am  Cliff Taubes, “Compactness theorems in gauge theories” 
10:45am – 12:15pm  Valentino Tosatti, “Complex MongeAmpère Equations” 
12:15pm – 1:45pm  LUNCH 
1:45pm – 3:15pm  Pengfei Guan, “MongeAmpère type equations and related geometric problems” 
3:30pm – 5:00pm  Jared Speck, “Finitetime degeneration of hyperbolicity without blowup for solutions to quasilinear wave equations” 
Bong Lian (Brandeis University), SiuCheong Lau (Boston University), ShingTung Yau (Harvard University)
Please click Workshop Program for a downloadable schedule with talk abstracts.
Monday, November 28 – Day 1  
10:30am –11:30am  Hiro Lee Tanaka, “Floer theory through spectra” 
Lunch  
1:00pm – 2:30pm  Fabian Haiden, “Categorical Kahler Geometry” 
2:30pm2:45pm  Break 
2:45pm – 4:15pm  Fabian Haiden, “Categorical Kahler Geometry” 
4:30pm – 5:15pm  Garret Alston, “Potential Functions of Nonexact fillings” 
Tuesday, November 29 – Day 2  
10:30am –11:30am  Conan Leung, “Remarks on SYZ” 
Lunch  
1:00pm – 2:30pm  Jingyu Zhao, “Homological mirror symmetry for open manifolds and Hodge theoretic invariants” 
2:30pm2:45pm  Break 
2:45pm – 4:15pm  Hiro Lee Tanaka, “Floer theory through spectra” 
4:30pm – 5:15pm  Hansol Hong, “Mirror Symmetry for punctured Riemann surfaces and gluing construction” 
Wednesday, November 30 – Day 3  
10:30am –11:30am  Junwu Tu, “Homotopy Linfinity spaces and mirror symmetry” 
Lunch  
1:00pm – 2:30pm  Jingyu Zhao, “Homological mirror symmetry for open manifolds and Hodge theoretic invariants” 
2:302:45pm  Break 
2:45pm – 4:15pm  David Treumann, “Invariants of Lagrangians via microlocal sheaf theory” 
Thursday, December 1 – Day 4  
10:30am –11:30am  David Treumann, “Some examples in three dimensions” 
Lunch  
1:00pm – 2:30pm  Junwu Tu, “Homotopy Linfinity spaces and mirror symmetry” 
2:302:45pm  Break 
2:45pm – 3:30pm  Netanel Blaier, “The quantum Johnson homomorphism, and the symplectic mapping class group of 3folds” 
* This event is sponsored by the Simons Foundation and CMSA Harvard University.
May 23 – Day 1  
8:30am  Breakfast 
8:55am  Opening remarks 
9:00am – 9:45am  Greg Galloway, “Some remarks on photon spheres and their uniqueness“ 
9:45am – 10:30am  Prahar Mitra, “BMS supertranslations and Weinberg’s soft graviton theorem“ 
10:30am – 11:00am  Break 
11:00am – 11:45am  Dan Kapec, “Area, Entanglement Entropy and Supertranslations at Null Infinity“ 
11:45am – 12:30pm  Piotr T. Chruściel, “The cosmological constant and the energy of gravitational radiation” 
12:30pm – 2:00pm  Lunch 
2:00pm – 2:45pm  James Guillochon, “Tidal disruptions of stars by supermassive black holes: dynamics, light, and relics” 
2:45pm – 3:30pm  MuTao Wang, “Quasi local conserved quantities in general relativity“ 
3:30pm – 4:00pm  Break 
4:00pm – 4:45pm  PoNing Chen, “Quasi local energy in presence of gravitational radiations” 
4:45pm – 5:30pm  Pengzi Miao, “Total mean curvature, scalar curvature, and a variational analog of Brown York mass“ 
May 24 – Day 2  
8:45am  Breakfast 
9:00am – 9:45am  Justin Corvino, “Scalar curvature deformation and the Bartnik mass“ 
9:45am – 10:30am  LanHsuan Huang, “Constraint Manifolds with the Dominant Energy Condition“ 
10:30am – 11:00am  Break 
11:00am – 11:45am  Dan Lee, “Lower semicontinuity of Huisken’s isoperimetric mass“ 
11:45am – 12:30pm  Jared Speck, “Shock Formation in Solutions to the Compressible Euler Equations“ 
12:30pm – 2:00pm  Lunch 
2:00pm – 2:45pm  Lorenzo Sironi, “Electron Heating and Acceleration in the Vicinity of Supermassive Black Holes“ 
2:45pm – 3:30pm  Alex Lupsasca, “Near Horizon Extreme Kerr Magnetospheres“ 
Organizers: Piotr T. Chruściel and ShingTung Yau
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