Algebraic and Arithmetic Geometry
2021 Joint Mathematics Meetings
Washington, DC
January 6–9, 2021
Walter E. Washington Convention Center
Organizers:


Marc Hindry
Institut de Mathématiques de JussieuPRG
UFR mathématiques de l'Université Paris 7 Denis Diderot
Bâtiment Sophie Germain
5 rue Thomas Mann
F75205 Paris CEDEX 13

Tony Shaska
Department of Mathematics
546 Mathematics Science Center
Oakland University,
Rochester, MI. 48309, USA.

Overview
Diophantine equations are systems of polynomial equations solved over integers or rational numbers. Diophantine geometry is the study of Diophantine equations using ideas and techniques from algebraic geometry. It is one of the oldest subjects of mathematics and the most popular part of number theory connecting it to algebraic geometry.
The goal of this session is to explore recent developments in the theory of arithmetic geometry and with special focus on curves and Jacobian varieties. We intend to bring together mathematicians, working on this area of research, from the USA and from Europe encouraging further cooperation and discussion. We will especially encourage younger mathematicians and graduate students and newcomers in the area.
The session will focus on the following topics, but we will be open and welcoming to talks which do not fall in the list of topics below.
Topics
 The geometry of curves and Abelian varieties
 Endomorphisms and isogenies of Abelian varieties
 Galois properties of torsion points and Tate modules
 Theory of heights, weighted heights, moduli heights of curves
 Height bounds and height conjectures
 Zeta functions of algebraic varieties
 Hyperelliptic and superelliptic Jacobians, and their endomorphism rings
 Brauer group of abelian varieties, K3 surfaces and generalized Kummer varieties
 NéronTate heights on abelian varieties
 Minimal models, models of curves with minimal height
 Néron model of an Abelian variety
 BrauerSiegel theorem in arithmetic geometry
 Abelian varieties and the MordellLang conjecture
 Effective computation of the MordellWeil group and set of rational points
 BombieriLang conjecture
 Vojta’s conjecture
 Other topics
Speakers
 Florian Breuer, University of Newcastle, Australia
 Alexander Buium, University of New Mexico
 Mike Fried, UC Irvine (retired)
 Gretchen Matthews, Virginia Tech. >/li>
 Andrew Obus, CUNY
 Andrew Sutherland, MIT
 Yuri Zarhin, Penn. State




Submitting Abstracts
Here is the website of the session from the AMS. Click below to submit abstracts.
Algebraic and Arithmetic Geometry
AMS Joint Meeting
For more information on registration, housing, etc, please visit the AMS website, at
2021 Joint Mathematics Meetings