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Excursions in Arithmetic Geometry
04 Jan 2023 - 07 Jan 2023 • Boston, United States
Organizer:
American Mathematical Society
Abstract:
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.

Contact:
Phone: [2477607447];     Email: shaska@risat.org
Topics:
algebraic curves, Abelian varieties, isogenies, torsion points, Tate modules, heights, weighted heights, height conjectures, Brauer group, K3 surfaces, Kummer varieties, Néron-Tate heights, Minimal models, minimal height, Néron models, Brauer-Siegel theorem, Mordell-Lang conjecture, Mordell-Weil, Bombieri-Lang conjecture, Vojta’s conjecture
Abstract submission deadline:
13 Sep 2022
Event listing ID:
1504007
Related subject(s):
2
Introductory Workshop: Diophantine Geometry
06 Feb 2023 - 10 Feb 2023 • Berkeley, California, United States
Organizer:
Mathematical Sciences Research Institute (MSRI)
Abstract:
This workshop will feature expository lectures about current developments in Diophantine geometry. This includes the uniform Mordell—Lang for rational points on curves, the Andre—Oort conjecture for special points on Shimura varieties, and effective results via Chabauty method, and related topics in Arakelov theory, unlikely intersections, arithmetic statistics, arithmetic dynamics, and p-adic Hodge theory.
Event listing ID:
1476243
Related subject(s):
3
Workshop — Degeneracy of algebraic points
17 Apr 2023 - 21 Apr 2023 • Berkeley, California, United States
Organizer:
CIRM - Jean-Morlet Chair
Abstract:
In recent years, a number of techniques have led to outstanding progress on Lang-Vojta conjectures, such as the Subspace Theorem, p-adic approaches to finiteness, and modular methods. Similarly, spectacular progress has been achieved on unlikely intersection conjectures thanks to new methods and tools, such as height formulas for special points, connections to model theory, refined counting results, and new theorems of Ax-Shanuel type (bi-algebraic geometry). The goal of this workshop is to create the opportunity for these two groups to interact, to share their techniques, to update on the most recent progress, and to attack the outstanding open questions in the field.
Event listing ID:
1476261
Related subject(s):
4
Conference on 100 Years of Noetherian Rings
19 Jun 2023 - 23 Jun 2023 • Institute for Advanced Study, Princeton, NJ, United States
Abstract:
In the early 1920s, Emmy Noether introduced the fundamental concept of a Noetherian ring, a notion that has had a remarkably broad impact on mathematics over the last century. In this conference, we celebrate Noether's legacy with research talks from many areas of algebra, broadly construed, including algebraic geometry, commutative algebra, number theory, and representation theory.
Event listing ID:
1507614
Related subject(s):
5
LuCaNT — LMFDB, Computation, and Number Theory
10 Jul 2023 - 14 Jul 2023 • Providence, Rhode Island, United States
Organizer:
ICERM
Abstract:
This will be a one-week conference broadly focused on the topics of the LMFDB, mathematical databases, computation, number theory, and arithmetic geometry. The conference will include invited talks, presentations by authors of papers submitted to the conference and selected by the scientific committee following peer-review, as well as time set aside for research and collaboration. This workshop is an activity of the Simons Collaboration 'Arithmetic Geometry, Number Theory, and Computation' and is supported by the Simons Foundation.
Contact:
Program Staff;     Phone: [1-401-863-5030];     Email: info@icerm.brown.edu
Abstract submission deadline:
10 Jan 2023
Event listing ID:
1498235
6
Number Theory and Combinatorics in Duluth: A conference to honor Joe Gallian and 45 years of the Duluth REU
31 Jul 2023 - 04 Aug 2023 • University of Minnesota, Duluth, MN, United States
Topics:
.algebraic-geometry, combinatorics, number-theory
Event listing ID:
1517622
Related subject(s):
7
ANTS XVI — Sixteenth Algorithmic Number Theory Symposium
15 Jul 2024 - 19 Jul 2024 • Massachusetts Institute of Technology, Cambridge, Massachusetts, United States
Abstract:
The ANTS meetings, held biannually since 1994, are the premier international forum for the presentation of new research in computational number theory and its applications. They are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.
Event listing ID:
1523996


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Last updated: 21 November 2022