AG Seminar Winter 2018
Student No.:40
Time:Thu 15:30-16:30, Nov.1-Jan.25
Instructor:Eduard Looijenga, Fu Lei, Xu Quan  
Place:Lecture Hall, Jin Chun Yuan West Bldg.
Starting Date:2018-11-1
Ending Date:2019-1-25

Welcome to the AG seminar in YMSC, Tsinghua University. We will continue the AG seminar this semester.

We will invite the newly faculties and post-docs, also visitors to give a talk so that we can have more knowledge to each other and academic communication.


Speaker: Will Donovan, YMSC, Tsinghua University

Title: Perverse sheaves of categories for mirror moduli spaces

The moduli spaces associated to the A-side and B-side of mirror symmetry carry much-studied bundles with connections, which may be related by a mirror map. I explain a categorification of such structures for certain examples, using perverse sheaves of categories on partial compactifications of the moduli spaces. This talk will discuss joint work with T Kuwakagi, and joint work with M Wemyss.


Speaker: Yitwah Cheung, YMSC, Tsinghua University

Title: Square-integrability of Siegel-Veech transforms

Motivated by counting problems for polygonal billiards and more generally for linear flows on surfaces, Veech (Annals 1998) introduced what is now known as the Siegel-Veech transform on the moduli space of holomorphic 1-forms, in analogy with the Siegel transform arising from the space of unimodular lattices. In that paper Veech established an (L^1) integral formula for this transform, a version of the classical Siegel integral formula. In this talk, I will describe some of the main ideas that allow us to extend Veech's result to establish that the Siegel-Veech transform of any bounded, compactly supported function is square integrable. This work is joint with Jayadev Athreya and Howard Masur.


Speaker: Gerard Van der Geer (Amsterdam University)

Title: Algebraic curves and modular forms of degree two

Siegel modular forms of degree 2 are intimately connected with moduli of curves of genus 2. We show that classical invariant theory yields an effective way to construct modular forms and then give attention to modular forms of low weight. This is joint work with Clery and Faber.