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Upcoming Talks

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Abstracts of upcoming talks at the MPIM. For an overview see also the calendar.

Spectra, Complex Oriented Cohomology Theories, and Formal Group Laws

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Speaker: 
Alessandro Nanto
Affiliation: 
Universität Bonn
Date: 
Thu, 13/06/2024 - 12:00 - 13:30
Location: 
MPIM Lecture Hall
Parent event: 
Physical Math Seminar
This talk is a first introduction to complex oriented cohomology theories. We begin by introducing the 1-category of (sequential) spectra, giving some basic definitions and properties, and their relationship with generalized cohomology theories, i.e. Brown's representation theorem. Of generalized cohomology theories, we focus then on the class of complex oriented ones. Finally, we introduce the notion of formal group law and sketch its connection to complex oriented cohomology theories.

 

From typed programming languages to synthetic homotopy theory

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Speaker: 
Félix Loubaton
Affiliation: 
MPIM
Date: 
Thu, 13/06/2024 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

In this talk I'll try to give an overview of (homotopic) type theory, a theory which produces a very important link between computer science and homotopy theory and which is at the heart of modern proof assistants.

We'll start with concrete examples from computer science, which will allow us to introduce Martin-Löf's dependent type theory. We'll then talk about Voevodsky's univalence axiom and finally the interepration of this theory in simplicial sets by Voevodsky, Lumsdaine and Warren.


 

Adic spaces

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Speaker: 
Ningchuan Zhang
Affiliation: 
MPIM
Date: 
Mon, 17/06/2024 - 10:15 - 12:00
Location: 
MPIM Seminar Room

The restricted lower central series spectral sequence

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Speaker: 
Itamar Mor
Affiliation: 
MPIM
Date: 
Tue, 18/06/2024 - 10:30 - 12:30
Location: 
MPIM Seminar Room

Hyperbolic 4-manifolds of low volume

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Speaker: 
Stefano Riolo
Affiliation: 
Università di Bologna
Date: 
Tue, 18/06/2024 - 11:45 - 12:45
Location: 
MPIM Lecture Hall

There is a natural interest in hyperbolic manifolds of low volume, and this talk addresses dimension four.As opposite to dimension n = 3 (Thurston's hyperbolic Dehn filling), for n > 3 the volume spectrum is discrete, and there is at most a finite number of hyperbolic n-manifolds with bounded volume (Wang's finiteness). Computing the number of hyperbolic 4-manifolds of given small (even minimal) volume appears nowadays far from reach. Counting such manifolds up to commensurability seems less unrealistic, at least by restricting the count to arithmetic manifolds.

Intertwining Fourier-Mukai and Wehrheim-Woodward functors via mirror symmetry of tori (master's talk 1)

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Speaker: 
Stefano Rocca
Affiliation: 
Universität Bonn
Date: 
Tue, 18/06/2024 - 13:00 - 14:00
Location: 
MPIM Seminar Room

After a brief motivation for mirror symmetry, we will discuss how to sistematically produce the mirror symmetry functor for the product, following the paper of Abouzaid and Smith. The technology presented will help us relate Wehrheim-Woodward functors to Fourier-Mukai ones.
For the most part of the talk we will handle symplectic 2-tori, but we will ask ourselves whether what we performed holds in greater generality. Does this point towards a 2-categorical framework for mirror symmetry?



 

The stack of L-parameters

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Speaker: 
Saverio Caleca
Affiliation: 
Universität Bonn
Date: 
Tue, 18/06/2024 - 14:00 - 16:00
Location: 
MPIM Lecture Hall

tba

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Speaker: 
Kalin Krishna
Affiliation: 
Universität Göttingen
Date: 
Wed, 19/06/2024 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

The distribution of values of $L(1,\chi)$, where $\chi$ is a cubic character over $\mathbb Q$

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Speaker: 
Pranendu Darbar
Affiliation: 
MPIM
Date: 
Wed, 19/06/2024 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In this talk, I will speak about the distribution of the special values $L(1, \chi)$ as $\chi$ varies over the family $F(X)$ of cubic primitive characters of conductor less or equal to $X$, and in particular the distribution of extreme values. This is a recent joint work with Chantal David, Matilde Lalı́n, and Allysa Lumley.

Distinguishing Brill--Noether loci

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Speaker: 
Richard Haburcak
Affiliation: 
MPIM
Date: 
Thu, 20/06/2024 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

Classical BrillNoether theory studies linear systems on a general curve in the moduli space $\mathcal{M}_g$ of algebraic curves of genus $g$. A refined BrillNoether theory studies the linear systems on curves with a given BrillNoether special linear system.

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