​Modular symbols | Number Theory Lunch Seminar BIMSA, YMSC

Abstract We will explain the basic theory of modular symbols, e.g. Manin symbolsintersection duality. lf time permits, we will give some arithmetic applications.

Applications of quantum cohomology to birational geometry I & II

主讲人 / Speaker 马克西姆 · 孔采维奇 Maxim Kontsevich 法国高等科学研究所(IHES)常任教授 菲尔兹奖得主(1998) 马克西姆·孔采维奇, 法国俄裔数学物理学家，1998年菲尔兹奖得主，法国科学院院士。主要研究领域包...

The spectral base of Hitchin maps | GRASP seminar

Abstract Let X be a projective manifold. The Hitchin morphism is a map from the moduli stack of Higgsbundles over X to the Hitchin base, which sends a Higgs bundle to its characteristic polynomial.

YMSC seminar on complex algebraic geometry | Local equations defining stable map moduli, arbitra...

Abstract: I will explain the matrix local equations defining the moduli spaces of stable maps of arbitrary genus, found jointly by Jun Li and the speaker. These equations already guided us to find

Moduli Spaces and Related Topics | Curves on K3 surfaces and Mukai’s program

Abstract: The Mukai’s program seeks to recover a K3 surface X from any curve C on it by exhibiting it as a Fourier-Mukai partner to a Brill--Noether locus of vector bundles on the curve. In this t...

Toric vector bundles, non-abelianisation, and spectral networks | Geometry and Dynamics Seminar

Abstract Spectral networks and non-abelianization were introduced by Gaiotto-Moore-Neitzke and theyhave many applications in mathematics and physics. in a recent work by Nho, he proved

Upgrading free convolution to non-normal random variables | BlMSA-Tsinghua Quantum Symmetry Semin...

Abstract The free probability theory is a probability theory of noncommutative random variables, whereusual independence isreplaced by free independence. lt was initially designed

求真体育 | 第四周赛事预告

求真体育 | 第三周赛事总结

Hypergraph Containers via the second momemt method | Research seminar in Discrete Mathematics

Abstract Hypergraph Containers theorem, obtained independently by Balogh, Morris, and Samotij andSaxton and Thomason, is one of the most influential discoveries in combinatorics in the last