Yigeng ZHAO, Ph.D.

School of Science

Number Theory and Algebraic Geometry

CONTACT

Email: zhaoyigeng@westlake.edu.cn

Website: https://algnt.lab.westlake.edu.cn/

Yigeng ZHAO, Ph.D.

School of Science

Number Theory and Algebraic Geometry

CONTACT

Email: zhaoyigeng@westlake.edu.cn

Website: https://algnt.lab.westlake.edu.cn/

"Grow together with our Westlake University."

Biography


Yigeng Zhao completed his bachelor’s program at Qingdao University. He received his master degree in pure mathematics from Capital Normal University in 2011 and doctorate at the University of Regensburg in 2016. After that, he was a postdoc there. Since October 2019, he has been a PI in Westlake University.


Research


Research areas: Number theory and algebraic geometry. Recently interested in

1) Higher dimensional class field theory,

2) Geometric ramification theory.


Using duality theorems, we give a new direct and universal approach to higher dimensional class field theory, in particular our method also gives information on the p-part of the étale fundamental group. In a joint work, we prove a modified version of Kato-Saito conjecture on a twist formula of epsilon factors, later we generalize this to a relative version.


Representative Publications


1.  Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes, Documenta Math. 23 (2018), p.1925-1967. 

2.  Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields, Compositio Math. 154(6) (2018), p.1306-1331 (with Uwe Jannsen and Shuji Saito).

3.  Higher ideles and class field theory, Nagoya Math. Journal (special volume) 236 (2019), p.214-250 (with Moritz Kerz). 

4.  Characteristic class and ε-factor of an étale sheaf, Transactions of the American Mathematical Society 373(10) (2020), p.6887-6927 (with Naoya Umezaki and Enlin Yang).

5.   On the relative twist formula of l-adic sheaves, Acta Mathematica Sinica-English Series (special volume) 37 (2021), p.73-94 (with Enlin Yang). 


Contact Information


Email:zhaoyigeng“at”westlake.edu.cn