The HUJI-BGU Workshop in Arithmetic meets twice a semester,
alternating locations, starting from the year 5780. All are
welcome.

The workshop is currently organized by Ari Shnidman
(HUJI) and Daniel
Disegni (BGU).

The day will be dedicated to the memory of John Tate, who passed away on October 16th, 2019. Tate's ideas "have dominated the development of arithmetic algebraic geometry" (from the 2003 Wolf Prize citation).

10.30 - 11.00 (Manchester, Faculty lounge) Welcome

11.00 - 11:45 (Ross 63) Shay Ben Moshe (HUJI),

12.00 - 13.00 (Ross 63) Ariel Weiss (HUJI),

13.00 - 14.00 (Manchester, Faculty lounge) Lunch

14.00 - 15:30 (Ross 70) David Jarossay (BGU),

Shay Ben Moshe (11:00-11:45)

We start by considering elliptic curves over the complex numbers. They admit analytic uniformization, namely they are given as a quotient of the complex plane by a lattice. This allows us to draw many conclusions about them, for example understand their torsion. We then try to mimic this in the

Ariel Weiss (12:00-13:00)

If E is an elliptic curve over a number field K, then, by a deep conjecture of Tate (now a theorem of Faltings), E is determined up to isogeny by its

David Jarossay (14.00-15.30)

This talk will be about a paper by Coleman and Iovita, which
shows two descriptions of a filtered Frobenius monodromy module
attached to the H^1_dR of elliptic curves (more generally
Abelian varieties) with split semistable reduction over Q_p. The
equivalence between the two descriptions is induced by Colmez's
p-adic integration pairing. A corollary is that, for A an
Abelian variety over a local field, the p-adic Tate module of A
is crystalline if and only if A has good reduction.

2nd meeting: January 13th, 2020 - BGU

Locations

BGU: Deichmann Building for Mathematics, Ben-Gurion University of the Negev, Be'er Sheva.