Program
Geometry and Physics Seminar
Student No.:50
Time:Tue 10:30-12:00, 2016-9-13~2016-12-27
Instructor:Si Li,Zhengyu Zong, Hao Wen  
Place:Conference room 3, Floor 2, Jin Chun Yuan West Building
Starting Date:2016-9-13
Ending Date:2016-12-27

 

Date2016-12-27

 

 

Speaker:文豪

 

 

Time10:30-12:00

 

 

PlaceConference room 3, Floor 2, Jin Chun Yuan West Building

 

 

Title: An introduction to Ooguri-Vafa metric (2)

 

 

Abstract:  I will continue the talk of last week and concentrate on the construction of hyperkahler metric of Gaiotto, Moore and Neitzke.

 

 

 

 

 

Date2016-12-20

 

 

Speaker:文豪

 

 

Time10:30-12:00

 

 

PlaceConference room 3, Floor 2, Jin Chun Yuan West Building

 

 

Title: An introduction to Ooguri-Vafa metric

 

 

Abstract: The Ooguri-Vafa metric is a Ricci flat metric defined in a neighborhood an elliptic fibration with a type I_1 singular central fibre. I will talk about two constructions of this metric: one using Gibbons-Hawking Ansatz and one using the method of Gaiotto, Moore and Neitzke.

 

 

 

 

Date: 2016-11-29

Speaker: 唐鑫星

Title: The heat kernel e^{-t\Delta_f} associated to f=z+1/z

Abstract: In this talk, first I will recall some fundamental results among severaly common heat kernels. Then I will introduce the heat operator from the 1d LG B model: the existence of the heat kernel, the trace expansion, torsion invariant. Finally, I want to do some disscusion with tt* geometry.

 

 

Date: 2016-11-22

Speaker: 梁钝

Title: Introduction to the Variation of GIT Quotients

Abstract: In this talk, I will give an introduction to the paper Variation of GIT Quotients written by I.Dolgachev and Y.Hu Publications mathématiques de l'IHÉS, 1998, 87(1):5-51.

 

Date: 2016-11-15

Speaker: Longting Wu (邬龙挺)

Title: Gromov-Witten invariants of quintic threefold

Abstract: The computation of Gromov-Witten invariants of quintic 3-fold plays an important role in the Gromov-Witten theory. In this talk, we will sketch the algorithm given by Maulik and Pandharipande, which can be used to determine Gromov-Witten invariants (in all genera) of quintic 3-fold. Inspired by Gathmann's proposal, Maulik and Pandharipande also gave a conjecture, which gives a new way to determine those invariants and may simplify their original algorithm. We will introduce their conjecture and also mention our progress towards solving it.

 

Date: 2016-11-8

Speaker: Jiongyue Li (李冏玥)

Title: Nonlinear Dirac equations on compact spin manifolds

Abstract: This report is based on my recent two works about the nonlinear Dirac equations on compact spin manifolds. In the first place, I will discuss a bifurcation phenomenon of the solutions to a nonlinear perturbation of the Dirac eigenvalue problem. In the next place I will introduce a study on the Dirac boundary value problem with respect to the local boundary condition which is associated to a Chirality operator.

 

Date: 2016-11-3

Speaker: Yinbang Lin(YMSC)

Title: Stable pairs and Verlinde numbers

 

Abstract: A stable pair is a coherent sheaf with a section, under a stability condition, which I will define. I will describe Thaddeus’ method to compute the Verlinde numbers over curves using moduli spaces of stable pairs. I will then generalize the notion of stable pair and show some examples of virtual fundamental classes.

 

Date: 2016-10-25 【Canceled】

Speaker: 梁钝(YMSC)

Title: Introduction to the Space of Linearizations (2)

Abstract: I will give an introduction to the space of linearizations based on the paper Geometric Invariant Theory and Flips written by MICHAEL THADDEUS in JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY  Volume 9, Number 3, July 1996.

 

Date: 2016-10-18

Speaker: 郭帅(BICMR)

Title: Elliptic FJRW invariants of the Fermat quintic

Abstract: The FJRW invariants have been recently intruduced by Fan–Jarvis–Ruan as an analog to Gromov-Witten theory. In this talk, we will give the proof of the mirror theorem for genus-one FJRW invariants of the Fermat quintic. We will present the proof in two steps: the first step is a wall crossing formula between the usually theory and the weighted zero theory; and the second step is a computation of the twisted invariants. This is a joint work with Dustin Ross.

 

Date: 2016-10-11

Speaker: 梁钝(YMSC)

Title: Introduction to the Space of Linearizations

Abstract: I will give an introduction to the space of linearizations based on the paper Geometric Invariant Theory and Flips written by MICHAEL THADDEUS in JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 9, Number 3, July 1996.

 

Date: 2016-9-13

Speaker: Yunhui Wu 吴云辉(YMSC)

Title: The Weil-Petersson geometry of the moduli space of curves for large genus

Abstract: There is a classical incomplete metric, called the Weil-Petersson metric, on the moduli of curves. The Weil-Petersson completion of the moduli of curves is homeomorphic to the Deligne-Mumford compactification of the moduli of curves. In recent years, it is quite active to study the geometry of this geometric object for large genus. In this talk, we will focus on the curvature aspect.

 

Date: 2016-9-20

Speaker: Hao Wen

Title: Hodge theory and residue calculus in LG/CY correspondence

Abstract: Given a quasi-homogeneous polynomial f on C^n, it defines a hypersurface X in the weighted projective space. In view of physicists, the sigma model of X is closely related to the LG model defined by f. This is the so called LG/CY correspondence. In this talk I will mainly focus on the Hodge theory of both sides and their correspondence, including tt* structure and pairing. The main tool is the residue calculus of Griffith.