Period domains D can be described as certain analytic open sets of flag varieties; due to the presence of monodromy, however, the period map of a family of algebraic varieties lands in a quotient D/\Gamma by an arithmetic group. In the very special case when D/\Gamma is itself algebraic, understanding the interaction between algebraic structures on the source and target of the uniformization D\rightarrow D/\Gamma is a crucial component of the modern approach to the André-Oort conjecture. We prove a version of the Ax-Schanuel conjecture for general period maps X\rightarrow D/\Gamma which...

# Algebraic Geometry Seminar

The Algebraic Geometry Seminar features talks on all branches of algebraic geometry, as well as related research fields including, and not limited to: number theory, complex geometry, and differential geometry.

Organizer(s):

For more information about this seminar, contact Gabriele Di Cerbo or János Kollár.

**Please click on seminar title for complete abstract.**

October 24, 2017

4:30pm - 5:30pm

##### Transcendence of period maps

Location

Fine Hall 322

Speaker: Ben Bakker,

University of Georgia

University of Georgia

November 7, 2017

4:30pm - 5:30pm

##### Dominating varieties by liftable ones.

Given a smooth projective variety over an algebraically closed field of positive characteristic, can we dominate it by another smooth projective variety that lifts to characteristic 0? We give a negative answer to this question.

Location

Fine Hall 314

Speaker: Remy van Dobben de Bruyn,

Columbia University

Columbia University

November 9, 2017

4:30pm - 5:30pm

##### TBA-Jingjun Han Institution

Location

Fine Hall 322

Speaker: Jingjun Han Institution,

Peking University

Peking University

November 21, 2017

4:30pm - 5:30pm

##### TBA-Antonella Grassi

Location

Fine Hall 322

Speaker: Antonella Grassi,

UPenn

UPenn

November 28, 2017

4:30pm - 5:30pm

##### TBA-Xudong Zheng

Location

Fine Hall 322

Speaker: Xudong Zheng Institution ,

Johns Hopkins

Johns Hopkins

December 5, 2017

4:30pm - 5:30pm

##### TB-Federico Buonerba

Location

Fine Hall 322

Speaker: Federico Buonerba,

New York University

New York University

December 12, 2017

4:30pm - 5:30pm

##### TBA-Lev Borisov Institution

Location

Fine Hall 322

Speaker: Lev Borisov,

Rutgers University

Rutgers University