General Relativity Seminar Speaker: Chris Fewster, York University Title: Quantum Energy Inequalities Abstract: Many theorems of mathematical relativity, including singularity and positive mass theorems, include the classical energy conditions among their hypotheses. However, matter described by quantum field theory can violate the classical energy conditions and indeed there is no lower bound to the energy […]
General Relativity Seminar Speaker: Xiaoyi Liu, UCSB Title: New Well-Posed Boundary Conditions for Semi-Classical Euclidean Gravity Abstract: We consider four-dimensional Euclidean gravity in a finite cavity. We point out that there exists a one-parameter family of boundary conditions, parameterized by a real constant, where a suitably Weyl-rescaled boundary metric is fixed, and all give a […]
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, […]
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 […]
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 […]
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 […]
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.
General Relativity Seminar Speaker: He Mei, Shenzhen University Title: Asymptotic decay for defocusing semilinear wave equations on Schwarzschild spacetimes Abstract: In this talk, I will present a work on the long time dynamics of solutions to the defocusing semilinear wave equations on the Schwarzschild black hole spacetimes. For sufficiently smooth and localized initial data, we show that the […]
https://youtu.be/yPOy4OoXJX0 CMSA/Tsinghua Math-Science Literature Lecture Prof. Amie Wilkinson gave a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Date: Wednesday, February 7, 2024 Time: 9:00–10:30 am ET Title: Stretching and shrinking: 85 years of the Hopf argument for ergodicity Abstract: The early 20th century witnessed an explosion of activity, much of it centered at Harvard, […]
General Relativity Seminar Speaker: Jinhua Wang, Xiamen University Title: Noncompact n-dimensional Einstein spaces as attractors for the Einstein flow Abstract: We prove that along with the Einstein flow, any small perturbations of an $n$($n\geq4$)-dimensional, non-compact negative Einstein space with some "non-positive Weyl tensor" lead to a unique and global solution, and the solution will be attracted to […]
Quantum Matter Seminar Speaker: Aleksey Cherman (UMN) Title: Exact lattice chiral symmetry in 2d gauge theory Abstract: Preserving the symmetries of massless fermions is a well-known challenge in lattice field theory. I'll discuss symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450' chiral gauge theory. […]
Speaker: Roman Geiko (UCLA) Title: When does a three-dimensions Chern-Simons theory have a time reversal symmetry? In this talk, I will discuss the time reversal invariance of (spin-) Chern-Simons theory in 3 dimensions at both classical and quantum levels. I will show how to obtain a complete classification of Abelian anyons with the time reversal […]