Kommende Vorträge

Posted in

Veranstaltungen

Ausführliche Liste aller demnächst stattfindenden Vorträge und Seminare. Für eine Übersicht konsultieren Sie bitte auch den Kalender.

Oberseminar Arithmetic Geometry and Representation Theory

Posted in

Vortrag

Organiser(s):

Prof. Dr. J. Fintzen, Prof. Dr. T. Kaletha, Prof. Dr. P. Scholze

Datum:

Fre, 11/10/2024 - 14:05 - Fre, 19/12/2025 - 16:00

Location:

MPIM Lecture Hall

Details:

Program and Abstracts of Oberseminar Arithmetic Geometry and Representation Theory

https://people.mpim-bonn.mpg.de/scholze/veranstaltungen.html

On a conjecture of Auslander and Reiten, II

Posted in

Vortrag

Speaker:

Olgur Celikbas

Zugehörigkeit:

West Virginia University/MPIM

Datum:

Mit, 21/05/2025 - 14:00 - 15:30

Location:

MPIM Seminar Room

Parent event:

Algebra Seminar

There are many conjectures from the representation theory of finite-dimensional algebras that have been transplanted into commutative algebra, and this process has significantly enriched both fields. A notable example is the Auslander–Reiten Conjecture, which asserts that a finitely generated module M over a finite-dimensional algebra A is projective if the Ext groups $Ext^n(M,M)$ and $Ext^n(M,A)$ vanish for all positive integers n.

Weiterlesen

Galois Groups of D-finite Series modulo Primes

Posted in

Vortrag

Speaker:

Florian Fürnsinn

Zugehörigkeit:

Universität Wien

Datum:

Mit, 21/05/2025 - 14:30 - 15:30

Location:

MPIM Lecture Hall

Parent event:

Number theory lunch seminar

A power series with rational number coefficients is called D-finite if it satisfies a linear differential equation with polynomial coefficients over the rationals. Taking the reduction of such a D-finite power series modulo a prime number, one often obtains an algebraic power series. For example, for diagonals of multivariate rational functions this was observed by Furstenberg in 1967, and for hypergeometric functions this can be deduced from results by Christol, and was made precise in recent work by Vargas-Montoya.

Weiterlesen

Rationally Inequivalent Points on Generic Hypersurfaces

Posted in

Vortrag

Speaker:

Xi Chen

Zugehörigkeit:

Alberta/Bonn

Datum:

Don, 22/05/2025 - 10:30 - 12:00

Location:

MPIM Lecture Hall

Parent event:

Seminar Algebraic Geometry (SAG)

For a smooth surface of degree at least 4 in ${\mathbb P}^{^3}$, Mumford proved that its Chow group of 0-cycles are nontrivial. As the degree increases, we are expecting the group to become larger in some sense. Voisin proved that no two distinct points are rationally equivalent on a very general surface of degree at least 7.
We improved her result to degree 6, which is optimal. This is a joint work with James D. Lewis and Mao Sheng.

Global Homotopies for HKR Theorems in Differential Geometry

Posted in

Vortrag

Speaker:

Chiara Esposito

Zugehörigkeit:

Salerno

Datum:

Don, 22/05/2025 - 13:00 - 14:30

Location:

MPIM Lecture Hall

Parent event:

Higher Differential Geometry Seminar

The classical Hochschild-Kostant-Rosenberg (HKR) Theorem in Differential Geometry gives a quasi-isomorphism between the differentiable Hochschild complex of the algebra of smooth functions on a manifold and the multivector fields on it. The HKR morphism plays an important role in deformation theory, as it allows us to study existence and classification of deformations of associative algebras. Even though the HKR Theorem has been known for a long time, available proofs are often of a local nature and are hard to generalize to more structured situations.

Weiterlesen

Biharmonic and biconservative surfaces in Thurston geometries

Posted in

Vortrag

Speaker:

Dorel Fetcu

Zugehörigkeit:

Gheorghe Asachi Technical University of Iasi/MPIM

Datum:

Don, 22/05/2025 - 15:00 - 16:00

Location:

MPIM Lecture Hall

Parent event:

MPI-Oberseminar

We will explain first the notions of biharmonic and biconservative submanifolds in Riemannian manifolds. Then we will focus on surfaces with one of these properties in the eight 3-dimensional Thurston geometries (real space forms, product spaces, the Heisenberg group Nil, the solvmanifold Sol3, and the universal cover of PSL2(R)). We will present old and new results on their local and global geometry and will end with a recent study of these surfaces in Sol3.