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

IMPRS seminar on various topics: Topological Hochschild homology and topological cyclic homology

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Organiser(s): 
Christian Kaiser
Date: 
Wed, 14/01/2026 - 10:15 - Fri, 29/05/2026 - 11:45
Location: 
MPIM Lecture Hall
Details: 
Program and Abstracts of IMPRS seminar on various topics: Topological Hochschild homology and topological cyclic homology

The Unterseminar

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Organiser(s): 
Joseph Baine, Wyatt Reeves
Date: 
Mon, 19/01/2026 - 15:00 - Mon, 27/04/2026 - 17:00
Location: 
MPIM Seminar Room
Details: 
Program and Abstracts of The Unterseminar

MPIM Topology Seminar: Miniseries on topological modular forms and synthetic spectra

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Organiser(s): 
Prof. Peter Teichner, Tobias Barthel, Viktoriya Ozornova
Date: 
Mon, 26/01/2026 - 14:00 - Mon, 09/02/2026 - 15:00
Location: 
MPIM Lecture Hall
Details: 
Program and Abstracts of MPIM Topology Seminar: Miniseries on topological modular forms and synthetic spectra
Topological modular forms (tmf) have long played a big role in modern homotopy theory, with applications ranging from studying bordism, to being a key part of the computation of stable homotopy groups of spheres. However, a complete computation of its homotopy groups has never appeared in the literature. 
 
In this mini-series, we will describe our approach to this computation using modern techniques in synthetic spectra and introducing a synthetic spectrum we call Synthetic modular forms (Smf).

The actual computation

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Speaker: 
Jack Davies
Affiliation: 
Bergische Universität Wuppertal
Date: 
Mon, 09/02/2026 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar: Miniseries on topological modular forms and synthetic spectra
The previous two talks have covered why we want to compute the descent spectral sequence for Tmf, the definition of the synthetic spectrum Smf, and seen an array of tools to work with synthetic spectra. In this talk, the rubber hits the road and we use detection methods, synthetic generalisations of the Leibniz rule and Moss' convergence theorem, and a truncated version of the Burklund--Hahn--Senger omnibus theorem to fully calculate this spectral sequence. This finally gives all the details to this computation, which was started around 30 years ago by Hopkins and Mahowald.

Non-noncommutative geometry

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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.

 

 

 

Finite multiple zeta values and the poor man's adele ring

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Speaker: 
Don Zagier
Affiliation: 
MPIM
Date: 
Tue, 10/02/2026 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

Finite multiple zeta values and the poor man's adele ring II

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Speaker: 
Don Zagier
Affiliation: 
MPIM
Date: 
Tue, 10/02/2026 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

Higher generalized morphisms and Morita equivalence of geometric $\infty$-groupoids

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Speaker: 
Christian Blohmann
Affiliation: 
MPIM
Date: 
Wed, 11/02/2026 - 10:30 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Higher Differential Geometry Seminar

I will carefully review the various equivalent definitions of principal $G$-bundles (free and proper $G$-action, fiber bundle with free and transitive $G$-action on fibers, local transition functions on cover satisfying cocycle condition, classifying map to $BG$). Then I show how these notions generalize to Lie $\infty$-groupoids. The main result is that we can still move between principal groupoid bibundles, anafunctors, and classifying maps in the $\infty$-categorical setting.

Plane Floer homology and the odd Khovanov homology of 2-knots

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Speaker: 
Chen Zhang
Affiliation: 
Stony Brook University
Date: 
Wed, 11/02/2026 - 14:00 - 16:00
Location: 
MPIM Seminar Room
Parent event: 
Working group on odd Khovanov homology

In this talk, I will discuss joint work with Sypropoulous and Vidyarthi in which we prove a conjecture of Migdail and Wehrli regarding the maps which odd Khovanov homology associates to knotted spheres. Our main tool is the spectral sequence from reduced OKH to Plane Floer homology.

 

 

 

Real zeros of $L'(s, \chi_d)$

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Speaker: 
Youness Lamzouri
Affiliation: 
Université de Lorraine
Date: 
Wed, 11/02/2026 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In 1990, R. C. Baker and H. L. Montgomery conjectured that for almost all fundamental discriminants d, the derivative of the Dirichlet L-function associated to the quadratic character modulo d has around $\log\log |d|$ real zeros on the interval $[1/2, 1]$. Baker and Montgomery's motivation in studying these zeros stems from their connection to real zeros of Fekete polynomials and to sign changes of real character sums. In this talk I will present recent work that settles this conjecture (up to a small factor of $\log\log\log |d|$).

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