FGC-HRI-IPM Joint Number Theory Seminar
When: Wednesdays
Where: Zoom
Meeting ID: 85613860958
Seminar mailing list: google group
Past Seminar Series
Talks
Speaker: Ahmet Güloglu, Bilkent Univ., Ankara
Title: Non-vanishing of L-functions at the central point
Abstract: I will talk about two methods used to derive non-vanishing results for a family of L-functions;
the one-level density and the moments of L-functions. I will mention what these methods are and how they are used to get non-vanishing.
Date: January 29, 2025
Time: 17:30-19:00 (Tehran local time)
Speaker: Ratko Darda, Sabancı Üniversity
Title: Malle conjecture for finite group schemes
Abstract:The Inverse Galois Problem asks whether every finite group G is the Galois group of a
Galois extension of the field of rational numbers Q. The Malle conjecture offers a
quantitative perspective: it predicts the number of Galois extensions
of Q (or any other number field), with G as the Galois group, of bounded "size" (such as the discriminant).
In this talk, we explore a generalization of the conjecture to finite étale group schemes. We show how the
generalization helps explain inconsistencies of the Malle conjecture found by Klüners. Additionally,
we discuss the case of the conjecture when G is a commutative finite étale group scheme,
which generalizes the classical work of Wright on the number of abelian extensions of bounded discriminant. The talk is based on a joint work with Takehiko Yasuda.
Date: February 12, 2025
Time: 17:30-19:00 (Tehran local time)
Speaker: Keerthi Madapusi, Boston College
Title: A new approach to p-Hecke correspondences and Rapoport-Zink spaces
Abstract:We will present a new notion of isogeny between ‘p-divisible groups with
additional structure’ that employs the cohomological stacks of Drinfeld and Bhatt-Lurie—-in particular
the theory of apertures developed in prior work with Gardner—-and combines it with some invariant theoretic
tools familiar to the geometric Langlands and representation theory community, namely the Vinberg monoid and
the wonderful compactification. This gives a uniform construction of p-Hecke correspondeces and Rapoport-Zink
spaces associated with unramified local Shimura data. In particular, we give the first general construction of RZ
spaces associated with exceptional groups. This work is joint with Si Ying Lee.
Date: February 26, 2025
Time: 17:30-19:00 (Tehran local time)