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Abstracts for The Unterseminar

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Introduction to the Geometric Langlands Equivalence

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Speaker: 
Wyatt Reeves
Affiliation: 
MPIM
Date: 
Mon, 19/01/2026 - 15:00 - 17:00
Location: 
MPIM Seminar Room
Parent event: 
The Unterseminar

The geometric Langlands equivalence is roughly a nonabelian geometric categorical Fourier transform. In this introductory talk we will start from the theory of Fourier series,
and through a sequence of generalizations arrive at the statement of geometric Langlands equivalence.

 

Constructing and (Not) Computing Algebraic K-Theory

Posted in
Speaker: 
Shay Ben-Moshe
Affiliation: 
MPIM
Date: 
Mon, 26/01/2026 - 15:00 - 17:00
Location: 
MPIM Seminar Room
Parent event: 
The Unterseminar

Algebraic K-theory is a rich invariant of rings with connections throughout mathematics. I will motivate and define the 0-th K-group with example computations. Next, we will take a detour through homotopy theory, which will allow us to construct the higher K-groups in a conceptually clear way. These higher groups are notoriously difficult to compute, a challenge I will illustrate through applications to number theory, arithmetic geometry, and/or topology, depending on time constraints and popular demand.

 

A gentle introduction to Selmer groups of elliptic curves

Posted in
Speaker: 
Sun Woo Park
Affiliation: 
MPIM
Date: 
Mon, 02/02/2026 - 15:00 - 17:00
Location: 
MPIM Seminar Room
Parent event: 
The Unterseminar

The talk will focus on computing 2-Selmer groups of elliptic curves over a number field, and how such computations help with determining whether an elliptic curve has infinitely many solutions over the field or not. I will strive to make sure that the talk is accessible to everyone, and no prior knowledge on Galois cohomology groups will be required.

Non-noncommutative geometry

Posted in
Speaker: 
Eva-Maria Hekkelman
Affiliation: 
MPIM
Date: 
Mon, 09/02/2026 - 15:00 - 17:00
Location: 
MPIM Seminar Room
Parent event: 
The Unterseminar

You might think that non-noncommutative geometry is just geometry. But what kind, really? In other words, what is the geometry that is generalised in noncommutative geometry (NCG)? I will try to answer this by giving a (slightly fake) history of NCG as originating from a combination of C*-algebra theory, spectral geometry (hearing the shape of a drum), and some K-theory. Depending on the time, I might then sketch some cool theorems in NCG and applications in mathematics and physics.

 

 

 

 

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