**The HUJI-BGU-Zoom Workshop in
Arithmetic**

The HUJI-BGU-Zoom 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).

**3rd meeting: Monday March 30th, 2020 - Zoom**

The theme of the day will be the interplay of arithmetic, geometry
and harmonic analysis on locally symmetric spaces.

**Schedule**

14.00 - 15.10 Amitay Kamber (HUJI), *Cohomology of locally
symmetric spaces*

15.30 - 16.50 Tony Feng (MIT), *The Galois action on symplectic
K-theory*

**Recording**

The video is here.
Amitay's talk is first and Tony's talk begins around the 1:00:30
mark.

* *

**Abstracts of talks**

Amitay Kamber (14-15.10)

I will introduce locally symmetric spaces, and explain how their
cohomology is related to automorphic forms and, at least in some
cases, Galois representations.

Tony Feng (15.30 -
16.50)

A fundamental principle in number theory is that the cohomology of
locally symmetric spaces carries interesting Galois representations.
However, locally symmetric spaces are also associated with other
kinds of algebraic invariants, such as algebraic K-theory, and one
could also try to study the Galois action on them. In joint work
with Soren Galatius and Akshay Venkatesh, we define a symplectic
version of algebraic K-theory for the integers, and compute the
Galois action on it, which turns out to be “universal” in an
appropriate sense.

**Dates to be saved**

TBA

** Past meetings**

2nd meeting, January 13th, 2020 (BGU)

1st meeting,
December 16th, 2019 (HUJI)

Locations

HUJI: Einstein Institute of Mathematics, Hebrew University
Giv'at Ram Campus, Jerusalem.

BGU: Deichmann Building for Mathematics (building 58), Ben-Gurion
University of the Negev, Be'er Sheva.

Zoom: www.zoom.us

Directions to the physical locations: you may use Google Maps or
Moovit. (Please note that Google is sometimes optimistic about the
travel time of local buses.)