Events, Meetings, Workshops, and Conferences
Details about recent and upcoming events related to the collaboration can be found below:
June 3-7 (ICERM)
In this workshop, we will explore a number of themes in the arithmetic of abelian varieties of low dimension (typically dimension 2–4), with a focus on computational aspects. Topics will include the study of torsion points, Galois representations, endomorphism rings, Sato-Tate distributions, Mumford-Tate groups, complex and p-adic analytic aspects, L-functions, rational points, and so on.
Our goal is for the workshop to bring together researchers working on abelian varieties in a number of facets to establish collaborations, develop algorithms, and stimulate further research.
September 17-21, 2018 (UC Irvine)
Silverberg Birthday Conference
Several of the Simons Collaboration PI’s (Jennifer Balakrishnan, Noam Elkies, and Andrew Sutherland) are speaking at the fall conference celebrating Alice Silverberg’s 60th birthday. The topic will be on open questions in cryptography and number theory.
August 20-24 (MIT)
The conference on “Arithmetic Geometry, Number Theory, and Computation” is the collaboration’s first formal conference, held at MIT. Review the schedule.
July 16-20 (University of Wisconsin, Madison)
Many collaboration members will participate in the thirteenth Algorithmic Number Theory Symposium held at the University of Wisconsin, Madison.
May 10-14 (ICERM)
Many collaboration members will attend this ICERM workshop on birational geometry where the focus will be on the interplay between theoretical developments and explicit constructions, e.g., in the study of Cox rings of Fano varieties, rationality problems, Manin’s conjecture. Abstract
April 6, 2018
Number field fragments and Fermat’s last theorem
Simons Collaboration Seminar (open to all) by Bjorn Poonen (MIT)
3:30-4:30pm in MIT room 6-120
We describe an attempt (unsuccessful so far) to give a new proof of Fermat’s last theorem, involving geometry of numbers and the isotypic components of a Galois number field viewed as a representation of its Galois group.
Rigorous computation of the endomorphism ring of a Jacobian Collaboration PI John Voight (Dartmouth) speaks in the Brown University Algebra seminar on algorithms for the rigorous computation of the endomorphism ring of the Jacobian of a curve defined over a number field. Abstract
February 6, 2018
February 5, 2018
Strong Arithmetic Equivalence Andrew Sutherland (MIT), a collaboration PI, discusses research results that have applications to the construction of curves with isomorphic Jacobians and number fields with the same zeta function in the Brown University Algebra seminar. Abstract
February 2, 2018
This public collaboration lecture will discuss the predictions of the Langlands program for K3 surfaces, presenting some examples, open problems, and computational challenges. At 4:00pm at MIT. Abstract
February 1, 2018
Collaboration PI John Voight (Dartmouth) gives the Math Colloquium at Penn State University on Heuristics for Boundedness of Ranks of Elliptic Curves. He also speaks on Mock Heegner points and Sylvester’s Conjecture in the Number Theory Seminar.