Minicourse on the Hodge conjecture

Time：2023-05-16~2023-05-30

Venue：Lecture Hall, Floor 3 Jin Chun Yuan West Bldg Tencent Meeting ID: 579 9724 2693

Speaker：James Lewis University of Alberta, Canada

Time

Lecture 1. May 16 (09:50-11:25)

Lecture 2. May 17 (09:50-11:25)

Lecture 3. May 19 (09:50-11:25)

Lecture 4. May 22 (15:20-16:55)

Lecture 5. May 23 (09:50-11:25)

Lecture 6. May 24 (09:50-11:25)

Lecture 7. May 26 (09:50-11:25)

Lecture 8. May 29 (15:20-16:55)

Lecture 9. May 30 (09:50-11:25)

Speaker

Research Areas

Algebraic Geometry, Algebraic Cycles

Research Interests

Regulators and the arithmetic and geometry of algebraic cycles

Personal Website

https://www.math.ualberta.ca/Lewis_JD.html

Course Description

✔ Introduction

✔ Formalism of mixed Hodge structures

✔ The Hodge conjecture

✔ Milnor's K-theory, algebraic de Rham cohomology theory and de Rham cycle class map

✔ Deligne's absolute Hodge cycles and a recent work of C. Voisin

DATEMay 16, 2023

Related News

0
Non-Abelian Hodge Theories and the Reductive Shafarevich Conjecture
SpeakerMy research subjects contain complex algebraic-analytic geometry, complex hyperbolicity, non-abelian Hodge theories in both Archimedean and non-Archimedean settings, Nevanlinna theory, and the interplay among them. My current interest is harmonic mapping to Euclidean buildings, linear Shafarevich conjecture, hyperbolicity of algebraic varieties via representation of fundamental groups.Co...
1
Hodge Theory in Combinatorial Geometry
SpeakerI am interested in the topology of algebraic varieties, and its interaction with combinatorics and algebraic statistics. I am currently interested in the following topics.☑The topological aspects of algebraic optimization problems☑Fourier-Mukai (or Mellin) transformation and the generic vanishing theorems☑Kazhdan-Lusztig theory for matroids☑Schubert varieties of hyperplane arrangemen...