Irregular threefolds with nef anticanonical divisors in positive characteristic

Title

Irregular threefolds with nef anticanonical divisors in positive characteristic

Organizers

Caucher Birkar, 贾甲

Speaker

Zhan Li 李展

Southern University of Science and Technology

Time

Fri., 15:30-16:30, Sept. 13, 2024

Venue

B725, Shuangqing Complex Building A

清华大学双清综合楼A座 B725报告厅

Online

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Abstract

The positivity of anticanonical divisors imposes strong constraints on the geometry of algebraic varieties. Over the complex numbers, it has been proven that the Albanese morphism of varieties with nef anticanonical divisors are isotrivial fibrations. Similar results have been established in positive characteristic, provided that the fibers have good singularities. In this talk, I will present our recent results on the structures of Albanese morphisms for varieties with nef anticanonical divisors, given these morphisms have relative dimension 1 and the anticanonical divisors are relatively ample. This is a joint work with Tongji Gao and Lei Zhang.

About the speaker

Research Area

Algebraic Geometry, especially Birational Geometry

Employment

2018 - Now

Tenure-Track Assistant Professor, SUSTech

2014 - 2015

Visiting Lecturer, Johns Hopkins University

Education

2005 - 2009 B.S. in Mathematics,

Tianjin University.

Personal Homepage：

https://math.sustech.edu.cn/c/lizhan?lang=en