TBA…

# Categoria evento: Algebraic and Arithmetic Geometry Seminar

## Computing linear relations between 1-periods – Emre Sertoz (Leiden University)

I will sketch a modestly practical algorithm to compute all linear relations with algebraic coefficients between any given finite set of 1-periods. This is based on the “qualitative description” of these relations by Huber and Wüstholz. We combine…

## BPS invariant from p-adic integrals – Francesca Carocci (Université de Genève)

We consider moduli spaces of one-dimensional semistable sheaves on del Pezzo and K3 surfaces supported on ample curve classes. Working over a non-archimedean local field $F$, we define a natural measure on the $F$-points of such moduli spaces. We…

## The motivic Satake equivalence – Jakob Scholbach (Padova)

The geometric Satake equivalence, due to Mirkovic and Vilonen, establishes an equivalence between certain perverse sheaves on the affine Grassmannian $Gr_G$, for a split reductive group $G$, and representations of the Langlands dual group $\hat G$.…

## Log intersection theory – Leo Herr (Leiden)

Log structures are “magic powder” that make mildly singular spaces appear smooth. Log schemes literally lie between ordinary schemes and tropical geometry, and are related to Berkovich Spaces. Problems in Gromov-Witten Theory demand intersection…

## A McKay correspondence in Donaldson-Thomas theory of Calabi-Yau 4-folds – Sergej Monavari (EPFL)

Donaldson-Thomas theory is classically defined for moduli spaces of sheaves over a Calabi-Yau threefold. Thanks to recent foundational work of Cao-Leung, Borisov-Joyce and Oh-Thomas, DT theory has been extended to Calabi-Yau 4-folds. We discuss how,…

## Periods of Mixed Hodge Structures associated to algebraic cycles – Souvik Goswami (University of Barcelona)

Given a pair of algebraic cycles which are homologous to zero, and are in complimentary codimensions, R.Hain, S.Bloch, et.al., in the 1990s established a mixed Hodge structure associated to the pair. A period of this mixed Hodge structure is a real…

## How to make log structures – Alessio Corti (Imperial College London)

I give a canonical construction of the sheaf of log structures on a generic toroidal crossing space that makes it possible to make (singular) log structures explicitly and efficiently. I will sketch future applications to smoothing of toric Fano…

## The J-invariant of linear algebraic groups of outer type – Nikita Geldhauser (LMU Munich)

The J-invariant is a discrete invariant of semisimplealgebraic groups which describes the motivic behavior of the variety ofBorel subgroups. This invariant was an important tool to solve severallong-standing problems. For example, it plays an…

## On Moduli of Quiver Representations and Applications to Geometry – Patricio Gallardo (University of California, Riverside)

The moduli of quiver representations, i.e. tuples of line maps arranged per a prescribed directed graph, serve as a key tool within geometry and representation theory. In this talk, we will describe their structure and explore their applications to…