Mathematical Aspects of Scattering Amplitudes Lecture Speaker: Michael Borinsky, ETH Zurich Title: On the Euler characteristic of the commutative graph complex and the top-weight cohomology of the moduli space of curves
Mathematical Aspects of Scattering Amplitudes Lecture Speaker: Chaim Even-Zohar, Technion Title: Amplituhedron tiles and twistor polynomials
Amplituhedra, Cluster Algebras, and Positive Geometry Dates: May 29-31, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge MA 02138 & via Zoom In recent years, a remarkable paradigm shift has occurred in understanding quantum observables in particle physics and cosmology, revealing their emergence from underlying novel mathematical objects known as positive geometries. The conference will […]
https://youtu.be/HWL5Rg9B624 Speaker: Slava Krushkal, University of Virginia Title: Corks for exotic diffeomorphisms Abstract: Exotic smooth structures on simply-connected 4-manifolds are known to be related by cork twists: cutting out and re-gluing certain smooth contractible submanifolds. Work in progress, joint with A. Mukherjee, M. Powell, and T. Warren, provides a localization result for exotic diffeomorphisms of 4-manifolds. I will also discuss applications […]
https://youtu.be/18eVp3fOh-4 Speaker: Michael Freedman, Harvard CMSA Title: Can embedding problems be used to distinguish S^4 from other (possible) homotopy 4-spheres? Abstract: There are approaches in the literature (using Khovanov homology) to detecting a homotopy 4-sphere, via the 4-ball genus of knots. I'd like to suggest moving from surfaces to 3-manifolds, that is approaching the problem […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Arkya Chatterjee (MIT) Title: Phases and Phase Transitions of Spin Chains with Non-invertible Symmetries Abstract: Non-invertible symmetries are often emergent at low-energies in gapless states of quantum matter. It is useful to construct lattice models that have these as exact symmetries in order to provide a UV-complete […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Rahul Sahay (Harvard) Title: Landscape of Tensor Network States Preparable from Measurement Abstract: Measurements and feedback have emerged as powerful resources for creating many-body quantum states. However, a detailed understanding of what is possible is restricted to fixed-point representatives of phases of matter. In this talk, we go beyond this, […]
Workshop on Fibration and Degeneration in Calabi-Yau Geometry Dates: June 24-26, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge, MA 02138 Organizer: Chuck Doran, Harvard CMSA Calabi-Yau manifolds occupy a central place in geometry. Their critical role as the cut-case between basic Fano building blocks and the zoo of General Type manifolds is key to […]
Speaker: Shalabh Gautam, International Center for Theoretical Sciences, Tata Institute of Fundamental Research Title: Compactified Hyperboloidal Evolution in Numerical Relativity Abstract: In the field of numerical relativity, a major challenge is to incorporate future null infinity into the computational domain using a well-posed formulation. Achieving this goal would not only allow us to accurately simulate any […]
Advances in Probability Theory and Interacting Particle Systems A conference in honor of S. R. Srinivasa Varadhan. August 26 - August 28, 2024 Harvard Geological Lecture Hall Conference Website: www.math.harvard.edu/event/math-conference-honoring-srinivasa-varadhan Speakers Ines Armendariz, Universidad de Buenos Aires Yuri Bakhtin, Courant Institute Gérard Ben Arous, Courant Institute Sourav Chatterjee, Stanford University Amir Dembo, Stanford University Peter […]
Speaker: Jing-Yuan Chen, Tsinghua University Title: Instanton in Lattice QCD from Higher Categories and Higher Anafunctors Abstract: Putting continuum QFT (not just TQFT) on the lattice is important for both fundamental understandings and practical numerics. The traditional way of doing so, based on simple intuitions, however, does not admit natural definitions for general topological operators of continuous-valued […]
Mathematics and Machine Learning Program Opening Workshop Dates: September 3 - 5, 2024 Location: Room G10, CMSA, 20 Garden Street, Cambridge MA & via Zoom Webinar AI for Mathematicians, with Leon Bottou, François Charton, David McAllester, Adam Wagner, Boris Hanin, and Geordie Williamson. A series of 6 tutorial lectures introducing concepts of AI and of […]