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Upcoming Talks

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

Recent developments in Quantum Topology -- Cancelled --

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We will review the basics of quantum topology such as the colored Jones polynomial of a knot, its standard conjectures relating to asymptotics, arithmeticity and modularity, as well as the recent quantum hyperbolic invariants of Kashaev et al, their state-integrals and their structural properties. The course is aimed to be accessible by graduate students and young researchers.

IMPRS seminar on various topics: single talk

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Date: 
Tue, 16/04/2024 - 10:00 - Tue, 06/08/2024 - 11:30
Location: 
MPIM Lecture Hall
Details: 
Program and Abstracts of IMPRS seminar on various topics: single talk

Minimal Kinematics on $\mathcal{M}_{0,n}$

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Speaker: 
Bernd Sturmfels
Affiliation: 
MPI for Mathematics in the Sciences, Leipzig
Date: 
Fri, 26/04/2024 - 11:30 - 13:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Math-Phys Seminar

Minimal kinematics identifies likelihood degenerations where the critical points are given by rational formulas. These rest on the Horn uniformization of Kapranov-Huh. We characterize all choices of minimal kinematics on the moduli space $\mathcal{M}_{0,n}$. These choices are motivated by the CHY model in physics and they are represented combinatorially by 2-trees. We compute 2-tree amplitudes, and we explore extensions to non-planar on-shell diagrams, here identified with the hypertrees of Castravet-Tevelev.

D-modules on the Fargues-Fontaine curve

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Speaker: 
Guido Bosco
Affiliation: 
MPIM
Date: 
Fri, 26/04/2024 - 14:05 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetische Geometrie und Darstellungstheorie

Global cohomology theories and applications

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Speaker: 
Luca Pol
Affiliation: 
Regensburg
Date: 
Mon, 29/04/2024 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar
The study of cohomology theories defined on equivariant spaces has long been a key aspect of algebraic topology. In recent years it has become increasingly clear that many interesting cohomology theories defined on equivariant spaces admit the additional functoriality which characterizes a cohomology theory defined on topological stacks. Such cohomology theories are often referred to as global and prominent examples include Borel cohomology, complex K-theory and bordism.

IMPRS Thementag

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Speaker: 
Short lectures by our new IMPRS students: Janina Bernardy, Chenji Fu, Gilles Felber, and Andrea Monti
Organiser(s): 
Christian Kaiser
Date: 
Mon, 29/04/2024 - 16:30 - 18:45
Location: 
MPIM Lecture Hall

Hecke algebras and the Kazhdan--Lusztig basis

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Speaker: 
Johannes Linn
Affiliation: 
MPIM/Universität Bonn
Date: 
Tue, 30/04/2024 - 10:00 - 11:30
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS seminar on various topics: Kazhdan-Lusztig theory

Overview

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Speaker: 
Nikolay Konovalov
Affiliation: 
MPIM, Bonn
Date: 
Tue, 30/04/2024 - 10:30 - 12:30
Location: 
MPIM Seminar Room
Parent event: 
Reading seminar on the unstable Adams spectral sequence

Duality for generalized algebraic theories

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Speaker: 
Jonas Frey
Affiliation: 
Carnegie Mellon University, Pittsburgh
Date: 
Tue, 30/04/2024 - 12:45 - 14:00
Location: 
MPIM Lecture Hall
Parent event: 
Abstract Homotopy Theory Seminar

Gabriel-Ulmer duality is a contravariant biequivalence between small finite-limit categories and locally finitely presentable categories, which in the spirit of Lawvere's functorial semantics can be viewed as a *theory-model duality*: small finite-limit categories C are viewed as theories, and the lfp category FL(C, Set) of finite-limit preserving Set-valued functors is viewed as category of models of of C. The opposite of C can be reconstructed up to equivalence from Lex(C,Set) as full subcategory of *compact* objects. 

Analytic Stacks

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Speaker: 
Julius Mann
Affiliation: 
Universität Bonn
Date: 
Tue, 30/04/2024 - 14:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
ARGOS (Arithmetische Geometrie Oberseminar)
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