DateSpeaker Title (click to expand/collapse abstract) 

3.10.2022
Paweł Borówka
In the talk, based on a joint work with R. Auffarth, we will show when the locus of abelian surfaces containing elliptic curves with prescribed exponents is nonempty and when is irreducible. Then, we will make a conjecture of how many components there are in a general case.
As an application of the result, we will investigate Jacobians of genus 3 curves that are completely decomposable.

10.01.2022
Tymoteusz Chmiel
Condensed mathematics is a new theory developed by P. Scholze and D. Clausen, which provides (among many other things) a way of incorporating topological rings into the realm of algebraic geometry. In my talk I will define the crucial notion of condesed abelian groups, which are certain functors on the category of profinite sets. I will state basic properties of the category of condesed abelian groups and show how their introdction solves the usual problems one encounters when algebra and topology intertwine.x

17.10.2022
Marcin Oczko
This is a continuation of the previous talk. I will introduce solid abelian groups and liquid vector spaces. These notions enable us to embed both non archimedean topological groups and real vector spaces into the very well behaved category of condensed abelian groups. I will also briefly talk about the famous liquid tensor experiment.

24.10.2022
S. Cynk
I will introduce basic notions and facts on linear algebraic groups, Gspaces and Jordan decomposition.
This talk is based on first four sections of Chapter 2. of the book: T.A. Springer Linear Algebraic Groups 
7.11.2022
S. Cynk
I will continue presentation of basic notions and facts on linear algebraic groups,
I will present a proof, based on properties of $G$ spaces that every algebraic group is isomorphic with a closed subgroup of a general linear group $GL$. Finaly, I will prove the Jordan decomposition of an element in linear algebraic group into a product of semisimple and unipotent elements.
This talk is based on Chapter 2. of the book: T.A. Springer Linear Algebraic Groups 
14.11.2022
Filip Gawron
We will continue our presentations on linear algebraic groups. This time we will establish basic results on commutative groups. First we will prove that every commutative group is isomorphic to the product of subgroups of respectively semisimple and unipotent elements. Then we define the diagonalizable group and show some characterization of such a groups especially the connection between algebraic tori. Finally we will prove classification theorem of connected one dimensional groups which says that every such a group is isomorphic to either multiplicative group $\textbf{G_m}$ or additive group $\textbf{G_a}$.
The talk is based on Chapter 3 of the book T.A.Springer, Linear Algebraic Groups 
21.11.2022
Vladyslav Zveryk

28.11.2022
Angela Ortega (HU Berlin)
The classical Recillas' trigonal construction provides a canonical isomorphism between étale double coverings $\tilde C \rightarrow C$ over a trigonal curve $C$ and tetragonal curves $X$ such that the Prym variety of the double covering is isomorphic to the Jacobian of X. There are other instances of ngonal constructiona giving rise to isomorphisms between some particular abelian varieties. These constructions have important consequences for the understanding of the fibres of the Prym map. We will explain the classical ngonal constructions and we will focus on the ramified case which extends Donagi’s and Recillas’ results for ramified double coverings. This talk is based on a joint work with Herbert Lange.

5.12.2023
Tomasz Szemberg (UP) Grzegorz Kapustka Sławomir Cynk

Vladyslav Zveryk

Kinga Słowik

Anatoli Shatsila

Tomasz Dudek

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