2018 Thematic Program (I)

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**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

- Lectures on Motives and Their Construction I
- 17:00 - 18:00, 2018-04-23 at W303 School of Mathematics
- Jin Cao (Tsinghua University)

- Lectures on Motives and Their Construction III
- 09:30 - 10:30, 2018-04-25 at W303 School of Mathematics

- Lectures on Motives and Their Construction V
- 09:30 - 10:30, 2018-04-27 at W303 School of Mathematics

- Lectures on Motives and Their Construction VII
- 10:00 - 11:00, 2018-05-22 at W303 School of Mathematics

- Lectures on Motives and Their Construction VIII
- 10:00 - 11:00, 2018-05-23 at W303 School of Mathematics

- Lectures on Motives and Their Construction IX
- 10:00 - 11:00, 2018-05-24 at W303 School of Mathematics