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Events

Conferences, seminars, talks and other events at the MPI for Mathematics

Upcoming conferences & activities

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Twinned workshop on "Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras"

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Organiser(s): 
Daniel Freed (Harvard University), Dennis Gaitsgory (MPIM Bonn), Owen Gwilliam (University of Massachusetts, Amherst), Anton Kapustin (Caltech), Catherine Meusburger (FAU Erlangen-Nürnberg)
Date: 
Mon, 30/06/2025 - 09:00 - Fri, 11/07/2025 - 15:00
Location: 
MPIM Lecture Hall

Twinned workshop on "Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras", June 30 - July 11, 2025

Quantum Field Theory (QFT) and Quantum Statistical Mechanics are central to high energy physics and condensed matter physics; they also raise deep questions in mathematics.  The application ofoperator algebras to these areas of physics is well-known.

Conference on "Progress and Emergent Theories in Zeta and L-Functions" (PRETZL)

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Organiser(s): 
Pranendu Darbar, Winston Heap, Oana Padurariu, Prahlad Sharma
Date: 
Mon, 21/07/2025 - 09:00 - Fri, 25/07/2025 - 15:00
Location: 
MPIM Lecture Hall

Conference on "Progress and Emergent Theories in Zeta and L-Functions" (PRETZL), July 21-25, 2025

There has been an enormous amount of progress in the analytic theory of zeta and L-functions over the past decade. Our understanding in the classical theory of the value distribution of the Riemann zeta function has achieved new heights with spectacular breakthroughs on moments and extreme values (both local and global) leading to a better understanding of families of L-functions more generally.

Conference in Memory of Yuri Manin

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Organiser(s): 
Dennis Gaitsgory, Mikhail Kapranov, Ivan Penkov, Maxim Smirnov
Date: 
Mon, 11/08/2025 - 09:00 - Fri, 15/08/2025 - 15:00
Location: 
MPIM Lecture Hall

Conference in Memory of Yuri Manin, August 11 - 15, 2025

Yuri I. Manin (February 16, 1937 - January 7, 2023) was an extraordinary figure in mathematics. Renowned for his creativity, Professor Manin's profound insights -- in diverse subjects ranging from algebraic geometry to mathematical physics and quantum computing -- helped shape modern mathematics. Professor Manin was Director of the Max Planck Institute for Mathematics in Bonn. In this week-long conference, the institute will honor his results and ideas and will attempt to trace some of their developments.

Upcoming Talks

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

Oberseminar Arithmetic Geometry and Representation Theory

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Organiser(s): 
Prof. Dr. J. Fintzen, Prof. Dr. T. Kaletha, Prof. Dr. P. Scholze
Date: 
Fri, 11/10/2024 - 14:05 - Fri, 19/12/2025 - 16:00
Location: 
MPIM Lecture Hall

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

A sketch of the proof of modularity of abelian surfaces

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Speaker: 
Juan Esteban Rodriguez Camargo
Affiliation: 
MPIM
Date: 
Mon, 07/07/2025 - 14:00 - 16:00

Venue: Endenicher Allee 60, Room 1.007, Math. Center, University of Bonn

Moduli spaces of projective 3d TQFTs

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Speaker: 
Jackson van Dyke
Affiliation: 
TU Munich
Date: 
Mon, 07/07/2025 - 14:00 - 15:00
Location: 
MPIM Lecture Hall

A gapped quantum system is well-approximated at low energy by a projective topological field theory. Therefore questions concerning the classification, symmetries, and anomalies of gapped quantum systems can be reinterpreted via the homotopy theory of the moduli space of such theories. I will describe a moduli space of 3-dimensional TQFTs, and the sense in which its homotopy theory informs us about the low energy behavior of gapped systems in 2+1 dimensions.

Non-invertible bosonic chiral symmetry on the lattice

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Speaker: 
Lukasz Fidkowski
Affiliation: 
University of Washington
Date: 
Mon, 07/07/2025 - 15:30 - 16:30
Location: 
MPIM Lecture Hall

We construct a Hamiltonian lattice realization of the non-invertible chiral symmetry that mimics an axial rotation at a rational angle in a U(1) gauge theory with bosonic charged matter.  We provide a heuristic argument that this setup allows a symmetric Hamiltonian which flows, at low energies, to a known field theory with this symmetry.

Generalized Kitaev Pairings and Higher Berry curvature in coarse geometry

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Speaker: 
Matthias Ludewig
Affiliation: 
University of Greifswald
Date: 
Mon, 07/07/2025 - 16:45 - 17:45
Location: 
MPIM Lecture Hall

In Appendix C of his "Anyons" paper, Kitaev introduced the notion of a "generalized Chern number" for a 2-dimensional system by diving the system in three ordered parts and measuring a signed rotational flux. This construction has since been used by several authors to measure topological non-triviality of a physical system. In recent work with Guo Chuan Thiang, we observe that the recipe provided by Kitaev can be interpreted in coarse geometry as the pairing of a K-theory class with a coarse cohomology class.

Some thoughts about Kapustin’s cobordism conjecture

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Speaker: 
Theo Johnson-Freyd
Affiliation: 
Perimeter Institute
Date: 
Mon, 07/07/2025 - 18:00 - 19:00
Location: 
MPIM Lecture Hall

In 2013, Kitaev explained that, under some reasonable locality hypotheses, gapped invertible phases of bosonic lattice models in different dimensions are naturally organized into an $\Omega$-spectrum. The following year, Kapustin conjectured that this spectrum is dual to a Thom spectrum, specifically (smooth) oriented bordism MSO, and that for fermionic lattice models one sees instead the dual to spin bordism. In 2016, Freed and Hopkins proved Kapustin’s conjecture for invertible phases of continuous unitary QFTs valued in an at-the-time conjectural universal target category.

On the categorical spectrum of topological quantum field theories

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Speaker: 
David Reutter
Affiliation: 
University of Hamburg
Date: 
Tue, 08/07/2025 - 14:00 - 15:00
Location: 
MPIM Lecture Hall

As originally suggested by Kitaev, invertible topological quantum field theories of varying dimensions should assemble into a spectrum/generalized homology theory. A candidate for such a spectrum of invertible TQFTs was proposed by Freed and Hopkins, with the defining property that (isomorphism classes of) n-dimensional invertible TQFTs are completely determined by their partition functions on closed n-manifolds.

More generally, not-necessarily-invertible TQFTs should assemble into a `categorical spectrum', an analogue of a spectrum with non-invertible cells at each level.

An algebraic theory of planon-only fracton orders

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Speaker: 
Agnes Beaudry
Affiliation: 
UC Boulder
Date: 
Tue, 08/07/2025 - 15:30 - 16:30
Location: 
MPIM Lecture Hall

In this talk, I will describe an algebraic theory for planon-only abelian fracton orders. These are three-dimensional gapped phases with the property that fractional excitations are abelian particles restricted to move in parallel planes. The fusion and statistics data can be identified with a finitely generated module over a Laurent polynomial ring together with a U(1)-valued quadratic form. These systems thus lend themselves to an elegant algebraic theory which we expect will lead to easily computable phase invariants and a classification.

A categorification of Quinn's finite total homotopy TQFT with application to TQFTs and once-extended TQFTs derived from discrete higher gauge theory

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Speaker: 
João Faria Martins
Affiliation: 
University of Leeds
Date: 
Tue, 08/07/2025 - 16:45 - 17:45
Location: 
MPIM Lecture Hall

Quinn's Finite Total Homotopy TQFT is a topological quantum field theory defined for any dimension n of space, depending on the choice of a homotopy finite space B. For instance, B can be the classifying space of a finite group or a finite 2-group.

Mapping the landscape of frustration-free models

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Speaker: 
Emil Prodan
Affiliation: 
Yeshiva University
Date: 
Tue, 08/07/2025 - 18:00 - 19:00
Location: 
MPIM Lecture Hall

Frustration-free models are of great interest because they are amenable to specialized techniques and their understanding is more complete among the general quantum spin models. In this talk, I will establish an almost bijective relation between frustration-free families of projections and a subclass of hereditary subalgebras defined by an intrinsic property. This relation sets further synergies between frustration-free models and open projections in double duals, and subsets of pure states spaces. These connections enable a better understanding of the class of frustration-free models.

Mathematical events in Bonn

Bonn Mathematics Calendar

All mathematical events in Bonn are listed in the Bonn Mathematics Calendar. For directions see the map.

University Calendar

All lectures and courses at Bonn University can be found in the university calendar.

 

Recurring seminars, series and courses

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Detailed list of recurring seminars, series of talks, and courses or lectures comprising multiple talks. For an overview see also the calendar.

Friedrich Hirzebruch Lecture

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Location: 
University Club Bonn

The annual Friedrich Hirzebruch Lecture is a series of lectures started in 2007 on the occasion of the 80th birthday of Prof. Friedrich Hirzebruch. The lectures address a general audience and aim at illustrating the relation between mathematics and art, society and other fields.

MPI-Oberseminar

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Organiser(s): 
C. Kaiser
Date: 
Thu, 31/01/2013 - 15:00 - Thu, 31/12/2026 - 16:00
Location: 
MPIM Lecture Hall

The Oberseminar is a very long running seminar at MPI (‘Ober‘ standing for 'upper'). Its idea is that the guests of the MPI speak in this seminar (hopefully early in their stay) and get the chance to explain their work to the other guests.

Arbeitsgemeinschaft Arithmetische Geometrie

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Organiser(s): 
Peter Scholze

Promotionskolloquium

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IMPRS Minicourse

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Organiser(s): 
C. Kaiser

Extra talk

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This is a collection of extra talks that don't fit into the other series.

Oberseminar Differentialgeometrie

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Organiser(s): 
Ursula Hamenstädt (U Bonn), Jonas Beyrer (U Bonn) and Stephan Stadler (MPIM)
Date: 
Thu, 02/09/2010 - 11:58 - Thu, 18/12/2025 - 11:58

Contact: Stephan Stadler (stadler$@$mpim-bonn$.$mpg$.$de)

Seminar Algebraic Geometry (SAG)

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Organiser(s): 
D. Huybrechts
Date: 
Thu, 06/01/2011 - 10:30 - Thu, 31/12/2026 - 12:00
Location: 
MPIM Lecture Hall

Higher Differential Geometry Seminar

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Organiser(s): 
Christian Blohmann
Date: 
Wed, 18/04/2012 - 10:30 - Thu, 31/12/2026 - 12:00
Location: 
MPIM Lecture Hall

Number theory lunch seminar

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Organiser(s): 
P. Moree
Date: 
Tue, 01/01/2013 (All day) - Fri, 30/06/2028 (All day)
Location: 
MPIM Lecture Hall

The number theory lunch seminar takes place every Wednesday after a joint lunch of MPIM's number theorists...

Archived Events

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MPI-Oberseminar

Posted in
Organiser(s): 
C. Kaiser
Date: 
Thu, 31/01/2013 - 15:00 - Thu, 31/12/2026 - 16:00
Location: 
MPIM Lecture Hall

The Oberseminar is a very long running seminar at MPI (‘Ober‘ standing for 'upper'). Its idea is that the guests of the MPI speak in this seminar (hopefully early in their stay) and get the chance to explain their work to the other guests.

Friedrich Hirzebruch Lecture

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Location: 
University Club Bonn

The annual Friedrich Hirzebruch Lecture is a series of lectures started in 2007 on the occasion of the 80th birthday of Prof. Friedrich Hirzebruch. The lectures address a general audience and aim at illustrating the relation between mathematics and art, society and other fields.

Break

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Date: 
Fri, 15/08/2025 - 16:00 - 16:30
Location: 
MPIM Lecture Hall

tba

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Date: 
Fri, 15/08/2025 - 14:40 - 16:00
Location: 
MPIM Lecture Hall

Lunch

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Date: 
Fri, 15/08/2025 - 13:00 - 14:40

tba

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Speaker: 
Alexander Beilinson
Affiliation: 
University of Chicago
Date: 
Fri, 15/08/2025 - 11:55 - 13:00
Location: 
MPIM Lecture Hall

Equivariant birational geometry

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Speaker: 
Yuri Tschinkel
Affiliation: 
New York University
Date: 
Fri, 15/08/2025 - 10:40 - 11:45
Location: 
MPIM Lecture Hall

I will discuss new results and constructions in equivariant birational geometry.

Tea break

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Date: 
Fri, 15/08/2025 - 10:05 - 10:40
Location: 
MPIM Tea Room

The odd integrable system

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Speaker: 
Nigel Hitchin
Affiliation: 
University of Oxford
Date: 
Fri, 15/08/2025 - 09:00 - 10:05
Location: 
MPIM Lecture Hall

In a volume dedicated to Yuri Manin on his 50th birthday the speaker introduced an integrable system defined on the cotangent bundle of the moduli space of stable $G$-bundles

Dinner

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Date: 
Thu, 14/08/2025 - 19:00 - 21:00
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