2018 Thematic Program (I)

Lectures on K-Theory: From Grothendieck to Voevodsky


April 16-26, 2018

W303  School of Mathematics, Sichuan University

[minicourse IV]Shouxin Dai0416-0426-01.png


Shouxin Dai (Southwest Jiaotong University)


1. Grothendieck-Reimann-Roch, and birth of K-theory

2. Properties of K_0; Class group; Swan's theorem; Formal Group Law

3. Topological K-theory; K_1 of Bass; Whitehead group

4. K_2 of Milnor; Matsumoto's theorem; Milnor K-theory

5. Bloch formula; Bloch conjecture; Milnor conjecture

6. plus construction and Q-construction

7. Some computational results

8. Milnor-Voevodsky theorem and certain famous conjectures

9. K-theory and cyclic homology


Xiaojun Chen (Sichuan University)

Farkhod Eshmatov (Sichuan University)

Wenchuan Hu (Sichuan University)

Raphael Ponge (Seoul National University)


Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University