Geometry and Quantum Theory Seminar Speaker: Keyou Zeng (CMSA) Title: Mathematics around Twisted Holography Abstract: The holography principle is an important idea in physics and has been widely studied since the 90s. Twisted holography offers a way to simplify physical holography models through the procedure called twisting. In the first part of the talk, I’ll […]
https://youtu.be/1QwTqfiqxTw CMSA/Tsinghua Math-Science Literature Lecture Date: Wednesday, September 18, 2024 Time: 9:00 - 10:30 am ET Location:Â Via Zoom Webinar Speaker: Marc Lackenby, University of Oxford Title: The complexity of knots Abstract: In his final paper in 1954, Alan Turing wrote `No systematic method is yet known by which one can tell whether two knots are […]
Math and Machine Learning Program Discussion
CMSA Q&A Seminar Speaker: Noam Elkies, Harvard Math Topic:Â How to show E8 and Leech lattices have optimal sphere packings?
Mathematical Physics and Algebraic Geometry Seminar Speaker: Minghao Wang (Boston University) Title: Feynman graph integrals from topological holomorphic theories Abstract: Feynman graph integrals from topological theories were developed by M. Kontsevich, S. Axelrod and I. M. Singer in 1990s. These integrals have many mathematical applications, such as knot invariants, operad theory and formality theorems. In […]
Topics in Deep Learning Theory Eli Grigsby
Math and Machine Learning Program Discussion
Member Seminar Speaker: Tomer Ezra (CMSA) Title: Communication Complexity of Combinatorial Auctions Abstract: We study the communication complexity of welfare maximization in combinatorial auctions with m items and two subadditive bidders. A 2-approximation can be guaranteed by a trivial randomized protocol with zero communication, or a trivial deterministic protocol with O(1) communication. We show that […]
Quantum Matter Seminar Speaker: Zhengcheng Gu, Chinese University of Hong Kong Title: Classification and construction of crystalline topological superconductors and insulators in interacting fermion systems Abstract: The construction and classification of crystalline symmetry protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Crystalline SPT phases […]
Math and Machine Learning Program Discussion
Colloquium Speaker: Lisa Carbone, Rutgers University Title: Symmetry groups in infinite dimensions Abstract: The study of many physical theories requires an understanding of symmetries of infinite dimensional Lie algebras. The construction of groups of automorphisms for infinite dimensional Lie algebras is challenging, but there is well established theory for the class of Kac-Moody algebras. A […]
General Relativity Seminar Speaker: Diandian Wang, Harvard University Title: New Energy Inequality in AdS Abstract: I will describe evidence for a new energy inequality in asymptotically AdS spacetimes whose conformal boundary contains a spatial circle. It is in some sense analogous but crucially different to the Penrose inequality. In the AdS4 case, this generalizes the […]