Abstract: I will discuss work in progress with M. Orr
(Manchester) and G. Papas (Weizmann) on the Zilber-Pink conjecture
for $Y(1)^3$. This is known for so-called asymmetric curves by the
2012 work of Habegger-Pila. More recently, an approach known...
Abstract: We will survey various recent results around the
distribution of the Hodge locus of a (mixed) variation of Hodge
structures. Various concrete applications to moduli spaces will
also be presented.
Abstract: We prove that an algebraic flat connection has $
{\mathbb R}_{\rm{ an, \ exp}}$-definable flat sections if and
only if it is regular singular with unitary monodromy eigenvalues
at infinity, refining previous work of Bakker–Mullane. This...
Abstract: I’ll describe recent work for approaching certain
functional transcendence problems through a combination of model
theory and differential Galois theory. This is based on joint work
with Blazquez-Sanz, Casale, and Nagloo.
Abstract: Let $k$ be a field and $X$ a
geometrically connected variety over $k$. The Tate or
degeneracy locus of a $l$-adic local system on
$X$ is the etale counterpart of the Hodge locus of a VHS.
While in the last decade tremendous progresses have...
Abstract: The cohomology of a family of algebraic varieties
carries a number of interrelated structures, of both
Hodge-theoretic and arithmetic flavors. I’ll explain joint work
with Josh Lam developing analogues of some of these structures
and...
Abstract: Building on previous work of Satake and Baily, Baily
and Borel proved in 1966 that arithmetic locally symmetric
varieties admit canonical projective compactifications whose graded
rings of functions are given by automorphic forms. Such...
October 13, 2025 | 9:00am - October 17, 2025 | 1:00pm
Sponsored by Dr. John P. Hempel
Organizer: Jacob Tsimerman
The goal of the workshop was to investigate recent progress on
special cycles from various perspectives, and the connection
between geometric and arithmetic methods.
Globally valued fields form a generalisation of global fields
that fits into the context of first order (continuous) logic. I
will describe these structures, and outline how they are connected
to various parts of arithmetic geometry: Arakelov...
I'll introduce o-minimality from a user's perspective assuming
zero background. I'll talk about some of the main examples of
o-minimal structures: as a user of o-minimality your first goal is
to find out whether your favorite set lives in one of...
