Abstract In the talk, I will give a brief review of known results on the extreme gap problems (smallest and largest gaps of the eigenvalues) of various random matrix ensembles. Then I will present
Abstract The course provides a basic introduction to model theory which allows to understand certain model theoretic results in algebra such as Artin’s conjecture on p-adic number fields.
Abstract A transversal in the multiplication table of a group is a set of |G| entries with different rows, columns, & symbols. Which multiplication tables have transversals? An answer was conjectur...
Abstract In this talk, I will discuss recent advances in string landscape and swampland. First, I will clarify various corrections in string compactifications and their implications in 4D N=1 SUGRA
Abstract The creation and manipulation of nonlinear localized waves including various types of solitons are among the paramount and advanced research field in nonlinear physics that generally
5月30日下午，2023年邵逸夫奖最新获奖名单出炉。国际数学大师、清华大学讲席教授丘成桐与美国芝加哥大学教授弗拉基米尔·德林费尔德（Vladimir Drinfeld）共同获得了2023年度邵逸夫奖数学科学奖，以表彰他们对数学...
Abstract Due to the complexity of the axially symmetric Einstein-Vlasov system there are no analytic results available in the literature for evolution problems except in the case of small initial
Abstract 我们将介绍Brouwer不动点定理、Borsuk-Ulam定理及其离散化版本在博弈论中的应用，并从计算的角度分析面临的机遇和挑战。
Abstract we describe how neural networks may be used to learn solutions to the Yang-Baxter Equation using 2d spin chains of difference form as a concrete example. the talk is based on arxiv
