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

...




Some travel plans:


01.12 - 01.16. 2026: Winter school: "Geometry, Arithmetic, and Cohomology of higher dimensional varieties", Bologna, Italy.


07. 23 - 07. 30. 2026: ICM at Philadaphia, USA.


07. 05 - 07. 18. 2027: Summer school: "Local systems in algebraic geometry", IHES, France.