#### Events, Meetings, Workshops, and Conferences

Details about recent and upcoming events related to the collaboration can be found below:

**Summer 2019**

#### June 3-7 (ICERM)

__Arithmetic of low-dimensional abelian varieties__

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.

**Fall 2018**

#### 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.

**Summer 2018**

#### August 20-24 (MIT)

__Conference on Arithmetic Geometry, Number Theory, and Computation__

The conference on “Arithmetic Geometry, Number Theory, and Computation” is the collaborationâ€™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.

**Spring 2018**

#### May 10-14 (ICERM)

__Birational Geometry and Arithmetic__

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.

#### March 5

__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

**Winter 2018**

#### February 6, 2018

Computing Belyi Maps Collaboration PI John Voight gives the colloquium at Temple University, Philadelphia. Abstract

#### 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

__Modularity of K3 surfaces: explicit methods and computational questions__

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.

#### January 12 (Marriott Marquis San Diego Marina Hotel)

__ICERM Mixer at the Joint Mathematics Meetings__To learn more about our collaboration, join past and future ICERM participants 6pm-8pm in the Catalina room. Refreshments will be served.

Please RSVP at info@icerm.brown.edu.