Tianyuan Mathematical Center
in Southwest China

2018 Thematic Program (I)

Lectures on Motives and Their Construction

[TMCSC]

April 23-May 25, 2018

W303/E409  School of Mathematics, Sichuan University

SPEAKER

Jin Cao (Tsinghua University)

ABSTRACT

In this series of talks, we will recall the construction of classical motives due to Grothendieck to its modern version -- Voevodsky's triangulated motives. Then we introduce the idea of using commutative differential graded algebra to construct a rigid tensor subcategory of motives generated by the projective line and further extend these construction to an elliptic curve. In the final, we mention some application of the theory of motives.

TOPICS

1. Classical motives (I) -- Introduction and Weil cohomology theory

2. Classical motives (II) -- Chow motives

3. A triangulated category of motives in the sense of Voevodsky(I) (II)(III)

4.Mixed Tate motives from the cdga point view

5. Motives for an elliptic curve

6. Application of the theory of motives

ORGANIZERS

Xiaojun Chen (Sichuan University)

Farkhod Eshmatov (Sichuan University)

Wenchuan Hu (Sichuan University)

Raphael Ponge (Seoul National University)

SUPPORTED BY

Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University

VIDEOS