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

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

**Winter 2018**

#### 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.

#### February 1, 2018

#### 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 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 6, 2018

**Spring 2018**

#### 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

#### 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.

#### May 10-14 (ICERM)

__Birational Geometry and Arithmetic__

Many collaboration members will attend this ICERM workshop on birational geometry. Abstract

**Summer 2018**

#### July 16-20 (University of Wisconsin, Madison)

Many collaboration members will attend this bi-annual conference on algorithmic number theory.

#### August 20-24 (MIT)

__Conference on Arithmetic Geometry, Number Theory, and Computation__

The collaboration’s first conference will take place at MIT.

**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.