Arithmetic Quantum Field Theory Program To receive email updates and program announcements, visit this link to sign up for the CMSA Arithmetic Quantum Field Theory Program mailing list. Dates: Feb. 5–Mar. 29, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge MA 02138 Directions to CMSA Organizers: David Ben-Zvi (University of Texas Austin) Solomon Friedberg (Boston […]
AQFT Lecture Series Speaker: Omer Offen (Brandeis) Title: Period integrals of automorphic forms and the residue method Abstract: I will discuss some aspects of period integrals of automorphic forms via examples. In particular, the residue method of Jacquet and Rallis and its recent application, joint with Friedberg and Ginzburg, to study new periods on the […]
Colloquium Speaker: Clark Barwick, University of Edinburgh Title: Factorization algebras in quite a lot of generality Abstract: The objects of arithmetic geometry are not manifolds. Some concepts from differential geometry admit analogues in arithmetic, but they are not straightforward. How then can we hope to make precise sense of quantum field theories on these objects? […]
https://youtu.be/G98ywTI82fg General Relativity Seminar Speaker: Nishanth Gudapati, Clark University Title: On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes Abstract: The Kerr black hole stability problem is an important open problem in general relativity. In this talk, I will focus on the role of energy methods in the axisymmetric stability of Kerr black hole spacetimes. […]
AQFT Lecture Series Speaker: Wei Zhang (MIT) Title: Shtuka special cycles and their generating series
https://youtu.be/TTM2Qmw-aek Josh Tenenbaum will give the Fourth Annual Yip Lecture on February 29, 2024. Title: How to grow a mind from a brain: From guessing and betting to thinking and talking Time: 4:00-5:00 pm ET Location: Harvard Science Center The Yip Lecture takes place thanks to the support of Dr. Shing-Yiu Yip. The previous Yip […]
Algebraic Geometry in String Theory Seminar Speaker: Brian Lehmann (Boston College) Title: Classifying curves on Fano varieties Abstract: How can we understand the set of curves on a Fano variety? One perspective is provided by Geometric Manin's Conjecture, a collection of conjectures with roots in arithmetic and topology. While I will mention some recent progress, the main […]
Active Matter Seminar Speaker: Ricard Alert, Max Planck Institute for the Physics of Complex Systems Title: Directed motion in active matter: Frictiotaxis and flocking Abstract: A key feature of active matter is its ability to move directionally, both as individual particles and collectively. I will discuss two examples of directed motion: one in cell migration, and one in collections of self-propelled colloids. […]
AQFT Lecture Series Speaker: Chen Wan, Rutgers Newark Title: Some examples of the relative Langlands duality Abstract: In this talk I will discuss some examples of the relative Langlands duality (introduced by Ben-Zvi—Sakellaridis—Venkatesh) for strongly tempered spherical varieties. In some cases, I will introduce a relative trace formula comparison for the models and prove the […]
CMSA Member Seminar Speaker: Tomer Ezra (Harvard CMSA) Title: Contract Design in Combinatorial Settings Abstract: We study two combinatorial settings of the contract design problem, in which a principal wants to delegate the execution of a costly task. In the first setting, the principal delegates the task to an agent that can take any subset of a […]
AQFT Lecture Series Speaker: Peng Shan (Tsinghua) Title: Skein algebras and quantized Coulomb branches Abstract: In this talk, we explain how to attach a quantized Coulomb branch in the sense of Braverman-Finkelberg-Nakajima to a compact oriented surface of genus at most one, and compare it to the Kauffman bracket Skein algebra in some special cases. This […]
Colloquium Speaker: Raghu Meka (UCLA) Title: Strong bounds for arithmetic progressions Abstract: Suppose you have a set S of integers from {1,2,...,N} that contains at least N / C elements. Then for large enough N, must S contain three equally spaced numbers (i.e., a 3-term arithmetic progression)? In 1953, Roth showed this is the case […]
General Relativity Seminar Speaker: Yuewen Chen, Tsinghua University Title: High order WENO finite difference scheme for Einstein-Yang-Mills equations Abstract: In this talk, we will show the convergence analysis of the first-order finite difference scheme for static spherically symmetric $SU(2)$ Einstein-Yang-Mills (EYM) equations. We also construct a new WENO scheme for EYM.
https://youtu.be/ZDMRN0Iyp28 New Technologies in Mathematics Seminar Speaker: Gabe Grand, MIT CSAIL and Dept. of EE&CS Title: LILO: Learning Interpretable Libraries by Compressing and Documenting Code Abstract: While large language models (LLMs) now excel at code generation, a key aspect of software development is the art of refactoring: consolidating code into libraries of reusable and readable programs. […]
Algebraic Geometry in String Theory Seminar Speaker: Jesse Huang, University of Alberta Title: Geometric construction of toric NCRs Abstract: The Rouquier dimension of a toric variety is recently shown to be achieved by the Frobenius pushforward of O via coherent-constructible correspondence. From the perspective of noncommutative geometry, this result leads to a geometric construction of toric NCR […]
AQFT Lecture Series Speaker: An Huang (Brandeis) Title: Tate's thesis and p-adic strings Abstract: I shall explain the relation between a family of deformations of genus zero p-adic string worldsheet action and Tate's thesis, which in particular, gives rise to an attempt of physically deriving quadratic reciprocity. I shall then propose a genus one p-adic […]
AQFT Lecture Series Speaker: John Francis (Northwestern) Title: Integrating braided categories over 3-manifolds Abstract: I’ll describe a form of factorization homology, which gives an invariant of framed 3-manifolds given as input a rigid braided-monoidal category with duals. More generally, the construction gives an invariant of framed n-manifolds from an E_{n-1}-monoidal category with duals. This construction relies […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Semeon Valgushev (Iowa State University) Title: A model for studying the sign problem on quantum computers: Z(3) gauge theory with three fermion flavors in 1+1 dimensions Abstract: Many properties of quantum field theories can be understood with the help of classical numerical methods. Yet there are several […]
CMSA Member Seminar Speaker: Dan Freed (Harvard Mathematics and CMSA) Title: Symmetry in quantum field theory Abstract: In joint work with Greg Moore and Constantin Teleman we show how ideas and techniques in topological field theory apply to the study of symmetry in quantum field theory. I will discuss how this came about, beginning with […]
AQFT Lecture Series Speaker: Dihua Jiang (U Minnesota) Title: Shalika Periods: Functoriality and Arithmetic Abstract: Shalika periods of automorphic forms were first used by H. Jacquet and J. Shalika (1990) in their construction of global zeta integrals for exterior square L-functions of GL(2n). They were also used by S. Friedberg and H. Jacquet (1993) in […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Shu-Heng Shao (SUNY Stony Brook) Title: Cluster state as a noninvertible SPT phase Abstract: We will point out a non-invertible symmetry of the ordinary 1+1d Z2xZ2 cluster Hamiltonian. Therefore, the cluster state can be viewed as a non-invertible SPT phase under this fusion category symmetry, which is […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Diego Delmastro (Simons Center for Geometry and Physics) Title: Monopoles, scattering, generalized symmetries Abstract: Gauge theory is a very mature subject by now. Surprisingly, some of its symmetries have only been properly understood in the last couple of years. Specifically, such theories typically have a very rich set […]
AQFT Lecture Series Speaker: Baiying Liu (Purdue) Title: Recent progress on certain problems related to local Arthur packets of classical groups Abstract: In this talk, I will introduce recent progress on certain problems related to local Arthur packets of classical groups. First, I will introduce a joint work with Freydoon Shahidi towards Jiang's conjecture on the wave […]
AQFT Lecture Series Speaker: Tasho Kaletha (University of Michigan) Title: Covers of reductive groups and functoriality Abstract: When studying problems arising from Langlands' functoriality principle, one often encounters groups that are extensions of complex reductive groups by Galois groups, but that do not necessarily satisfy all properties to be L-groups of reductive groups. We will show, […]
AQFT Lecture Series Speaker: Xinwen Zhu (Stanford) Title: The tame categorical local Langlands correspondence. Abstract: I will discuss a conjectural categorical form of the local Langlands correspondence for p-adic groups and establish the tame part of such correspondence (currently for unramified groups with connected center, and for Q_l-coefficients). I will also explain how to extract a […]
Colloquium Speaker: Natalie Paquette, University of Washington Title: Koszul duality & twisted holography for asymptotically flat spacetimes Abstract: Koszul duality has been understood in recent years to characterize order-type defects in twists of supersymmetric field theories. This notion has been generalized, from a physical point of view, by studying couplings between D-branes and closed string […]
General Relativity Seminar Speaker: Jin Jia, Hunan University Title: Scattering Rigidity Problem Abstract: If the asymptotic behavior of a solution to a nonlinear equation is the same as that of a solution to its linearized equation, it is called a scattering solution. Scattering phenomena are widely observed near steady-state solutions of various mathematical physics equations, […]
CMSA Q and A Seminar Speaker: Arthur Jaffe, Harvard University Question: What is mathematical picture language?
https://youtu.be/3Opuy9l5S_U CMSA/Tsinghua Math-Science Literature Lecture Prof. Cameron Gordon will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Date: Wednesday, March 20, 2024 Time: 9:00–10:30 am ET Location: Room G10, CMSA, 20 Garden Street, Cambridge MA and via Zoom Webinar Directions to CMSA Registration is required. Register here to attend in person: In-Person Registration […]
AQFT Lecture Series Speaker: Stephen D. Miller (Rutgers University) Title: What 4-graviton scattering amplitudes had to say about the unitary dual Abstract: I'll give an update on the problem of describing all unitary representations of a Lie group, including joint work with Michael Green and Pierre Vanhove that used intuition from string theory to show […]
https://youtu.be/eZbYSOpga2U New Technologies in Mathematics Seminar Speaker: Trieu H. Trinh, Google Deepmind and NYU Dept. of Computer Science Title: Solving olympiad geometry without human demonstrations Abstract: Proving mathematical theorems at the olympiad level represents a notable milestone in human-level automated reasoning, owing to their reputed difficulty among the world’s best talents in pre-university mathematics. Current […]
Algebraic Geometry in String Theory Seminar Speaker: Pierrick Bousseau, University of Georgia Title: The KSBA moduli space of log Calabi-Yau surfaces Abstract: The KSBA moduli space, introduced by Kollár--Shepherd-Barron, and Alexeev, is a natural generalization of "the moduli space of stable curves" to higher dimensions. It parametrizes stable pairs (X,B), where X is a projective algebraic […]
AQFT Lecture Series Speaker: Ezra Getzler (Northwestern) Title: Flat connections on derived stacks and the Gauss-Manin connection in derived algebraic geometry
Active Matter Seminar Speaker: Max Bi (Northeastern University) Title: Decoding The Origins of Fluidity in Multicellular Systems Abstract: Organisms continually adapt to mechanical forces at the cellular and tissue levels, a process crucial for sustaining vital life functions. In pivotal physiological processes, such as cancer progression and embryonic development, tissues are often poised near solid-like […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Sungwoo Hong, Korea Advanced Institute of Science and Technology (KAIST) Title: Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem Abstract: In this talk, I will discuss a new solution to the strong CP problem, one of the most important and challenging problems, […]
CMSA Member Seminar Speaker: Chuck Doran (Harvard CMSA) Title: Modularity and Fibrations in Mirror Symmetry Abstract: We will introduce appearances of modularity in the study both of families of Calabi-Yau threefolds and of their enumerative invariants. An important role is played by the structure of fibrations and the DHT fibration-degeneration mirror correspondence, which clarifies how these notions […]
AQFT Lecture Series Speaker: Jayce Getz (Duke University) Title: The Poisson summation conjecture and the fiber bundle method Abstract: The Poisson summation conjecture of Braverman-Kazhdan, L. Lafforgue, Ngo, and Sakellaridis predicts that spherical varieties over a global field admit Schwartz spaces, Fourier transforms, and a generalized Poisson summation formula. In this talk I will state a rough form […]
Arithmetic Quantum Field Theory Conference Dates: March 25-29, 2024 Location: Room G10, Harvard CMSA, 20 Garden Street, Cambridge MA 02138 Youtube Playlist Organizers: David Ben-Zvi (University of Texas Austin) Solomon Friedberg (Boston College) Natalie Paquette (University of Washington Seattle) Brian Williams (Boston University) Scientific Goals: On one hand, there has been tremendous progress in the past decade in our […]
https://youtu.be/MiqLoAZFRSE LECTURE SLIDES (pdf) On March 28, 2024, the CMSA will host the fifth annual Ding Shum Lecture, given by Yann LeCun. Time: 4:30–5:30 pm ET Speaker: Yann Lecun, New York University & META Location: Harvard Science Center Hall A & via Zoom Webinar Title: Objective-Driven AI: Towards AI systems that can learn, remember, reason, […]