Arithmetic Quantum Field Theory Program Lecture Series Speaker: Brian Williams, Boston University Topic:Â Algebraic quantum field theory Abstract: Questions and structures in arithmetic that have been / might be amenable to inspiration from QFT, in particular the theory of L-functions and the Langlands program.
Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.
Arithmetic Quantum Field Theory Program Lecture Series Speaker: David Ben-Zvi Topic: The Langlands program via arithmetic QFT Abstract: Structures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs.
Colloquium Speaker: Petros Koumoutsakos, Harvard SEAS Title: Machine Learning and Scientific Computing: There is plenty of room in the middle Abstract: Over the last thirty years we have experienced more than a billion-fold increase in hardware capabilities and a dizzying pace of acquiring and transmitting massive amounts of data. Scientific Computing and, more lately, Artificial […]
Quantum Matter in Mathematics and Physics Seminar Speaker: Sen Hu (Shanghai Institute for Mathematics and Interdisciplinary Study) Title: Quantum Algebra of Chern-Simons Matrix Model and Large N Limit Abstract: In this talk we discuss the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons […]
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? […]
AQFT Lecture Series Speaker: Wei Zhang (MIT) Title: Shtuka special cycles and their generating series
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 […]
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 […]
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 […]