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Arithmetic Quantum Field Theory Conference

Harvard CMSA via YouTube

Overview

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Explore the intersection of arithmetic geometry and quantum field theory through this comprehensive five-day conference featuring leading mathematicians and physicists. Attend presentations spanning March 25-29, 2024, beginning with a dedicated day for connections between women in mathematics and physics, followed by four days of advanced research talks. Discover cutting-edge developments in the Langlands program, including geometric and relative Langlands correspondence, automorphic representations, and their applications to string theory and black hole physics. Learn about statistical properties of number fields and 3-manifolds, special values of L-functions and their connections to scattering amplitudes, and topological defects in lattice field theory. Examine advanced topics in algebraic geometry such as character sheaves, affine Hecke categories, W-algebras, and Springer fibers. Investigate the interplay between modular forms, Eisenstein series, and Schubert varieties, while exploring functional analysis over the integers and global Hodge theory. Gain insights into string amplitudes through automorphic representations, unitarity in quantum field theory, and the extraction of black hole information from weak Jacobi forms. Engage with presentations on Liouville theory, Weil-Petersson geometry, Chern-Simons invariants, and theta correspondence, delivered by distinguished speakers from Harvard, MIT, University of Chicago, Yale, Oxford, Cambridge, and other leading institutions worldwide.

Syllabus

Melanie Matchett Wood | Statistics of Number fields, function fields, and 3-manifolds
Charlotte Chan | Generic character sheaves on parahoric subgroups
Kim Klinger–Logan | Connections between special values of L-functions and scattering amplitudes
Fei Yan | Topological defects on the lattice
Sarah Harrison | Liouville Theory and Weil-Petersson Geometry
Roman Bezrukavnikov | From affine Hecke category to invariant distributions
Sasha Braverman | Hecke operators for algebraic curves over local non-archimedian fields
Peng Shan | Modularity for W-algebras, affine Springer fibres and associated variety
Bảo Châu Ngô | On the nonabelian Fourier kernel and the Lafforgue transform
YoungJu Choie | Schubert Eisenstein series and Poisson summation for Schubert varieties
Axel Kleinschmidt | Automorphic representations in string amplitudes
Pavel Etingof | Analytic Langlands correspondence over C and R
Davide Gaiotto | Unexpected Unitarity
Spencer Leslie | Relative Langlands and endoscopy
Anne Marie Aubert | Local Langlands correspondence:from extended quotients to affine Hecke algebras
Kobi Kremnitzer | Functional analysis over the integers, L-functions and global Hodge theory
David Nadler | Going to the boundary
George Pappas | Finite and p-adic Chern-Simons type invariants
Sam Raskin | The geometric Langlands conjecture
Alejandra Castro | The light we can see: Extracting black holes from weak Jacobi forms
Zhiwei Yun | Theta correspondence and relative Langlands

Taught by

Harvard CMSA

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