## Spring 2017 Schedule:

**February
**24: **
****
Mihran Papikian (****Pennsylvania State
University)**

Title:
Graph laplacians and Drinfeld modular curves

Abstract: The relationship
between combinatorial laplacians and automorphic
forms is an active area of current research with
applications to a variety of problems arising in
number theory, group theory, and coding theory. I
will discuss certain combinatorial laplacians
arising in the theory of Drinfeld modular curves,
and their applications to estimating congruences
between automorphic forms.

March 3: **
Joe Kramer-Miller (****University College London)**

Title:
Genus stability in ordinary p-adic towers of curves

Abstract: The topic of this talk
is genus growth in
$\backslash mathbb\; Z\_p$-towers
of curves in characteristic
$p$.
For example, by work of Katz and Mazur we know that
the genus of the
$p^n$-th
Igusa curve is given by a quadratic in
$p^n$.
This quadratic genus growth property is known as
genus stability. We show that any tower
arising from the monodromy of a family of ordinary
varieties is genus stable. This is the first
step towards the geometric Iwasawa theory program
devised by Daqing Wan.

March 10:
**Hisa-aki Kawamura (Hiroshima University)**

Title:
The semi-ordinary p-stabilization of Siegel
Eisenstein series for symplectic groups and unitary
groups

Abstract:
For each prime number p, we introduce a certain kind
of p-stabilization of holomorphic Siegel Eisenstein
series for the symplectic group GSp(2n) defined over
the field of rational numbers, and for the unitary
group U(n,n) defined over an imaginary quadratic
field such that the resulting automorphic forms are
assembled into the so-called "semi-ordinary" p-adic
analytic families, respectively. If time permits,
we’ll also show some applications of the above
result, for instance, to construct the lifting of
p-adic analytic families from GL(2) to GSp(2n) and
U(n,n).

April 21:
**Kimball Martin (University of Oklahoma)**

Title:
Atkin-Lehner signs and congruences mod 2

Abstract: In
the first part of the talk, I will explain some
things about the distribution of Atkin-Lehner signs
for modular forms fixed level and weight. In the
second part of the talk, I will explain how to prove
the existence of many congruences mod 2 within a
fixed space of modular forms, and how this is
related to the first part.

May 5: ** **** **** Catherine
Hsu (University of Oregon****)**

Title: TBA

Abstract:

May 12: David Goldberg
(Purdue University)

Title: TBA

Abstract:

May 19**: Tobias Berger
(University of Sheffield)**

Title: TBA

Abstract:

**Seminar schedule in past semesters: **

** ** ** ****
****Fall
2016**

Spring
2016

Fall 2015

Spring 2015

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012

Spring 2012

Fall 2011

Spring 2011

2010

Fall 2009

Spring 2009

Spring 2007

Fall 2006

Spring 2006