Invited research talks:

2014

2015

2016

2017

2018

2019

2020

             Lecture 1 (Feb 11): An example of the Gopakumar-Vafa theory: the KKV formula revisited.

             Lecture 2 (Feb 13): Hitchin systems, hyper-Kaehler geometry, and the P=W conjecture.  


 (Talks that are cancelled due to the COVID 19 pandemic.)


Talks resume:

2021

             Lecture 1. The P=W conjecture and hyperKaehler geometry;

             Lecture 2. Cohomology of the moduli of Higgs bundles via positive characteristic;

             Lecture 3. Kaehler differentials, Lagrangian fibrations, and Hodge modules.

            Pretalk. Non-perverse perverse filtrations.

            Main lecture. Cohomology of the moduli of Higgs bundles via positive characteristic.

2022

2023

       Colloquium (Nov. 28): Non-abelian Hodge theory and the P=W conjecture.

       Michigan Lecture series in Algebraic Geomtry (Nov. 29,30,31): New perspectives of the topology of algebraic maps. 

2024

From abelian schemes to Hitchin systems: cohomology, sheaves, and algebraic cycles. I,II,III.

Fourier transform: from abelian schemes to Hitchin systems. I, II, III.

2025

...


Possible upcoming travel 

2024.

July 1-5, SCGP, Stony Brook.

July 7-13, Oberwolfach, Germany.

August 25-30, Banff International Research Station, Canada.


2025.


Feb 10-14, SCGP (higher genus activity).


March 3-7, IPMU (Enumerative geometry and Representation Theory).


June 15-20, Oberwolfach (New Treands in AG).


June 23-July 4, Pisa (Summer School on Geometric Representation Theory).


July 8- July 12. Colorado (Bootcamp).


July 12- August 1. Colorado (Summer Research Institute).