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Kommende Vorträge

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Ausführliche Liste aller demnächst stattfindenden Vorträge und Seminare. Für eine Übersicht konsultieren Sie bitte auch den Kalender.

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.

Conic fibrations over elliptic curves

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Speaker: 
Simon Myerson
Zugehörigkeit: 
University of Warwick
Datum: 
Mit, 22/03/2023 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Contact: Pieter Moree (moree @ mpim-bonn.mpg.de)

A theorem of Serre states that almost all plane conics over Q have no rational point. We prove an analogue of this for a family of conics parametrised by certain elliptic curves using elliptic divisibility sequences and a version of the Selberg sieve. Another way to think about this result is: we show that 0% of points on elliptic curves have a denominator which is a sum of two squares.

Low-dimensional topology seminar

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Organiser(s): 
Aru Ray
Datum: 
Don, 23/03/2023 - 12:00 - 13:00
Location: 
MPIM Lecture Hall

Contact: Aru Ray

Euler characteristics and 4-manifolds

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Speaker: 
Ian Hambleton
Zugehörigkeit: 
McMaster University
Datum: 
Don, 23/03/2023 - 12:00 - 13:00
Location: 
MPIM Lecture Hall

Contact: Aru Ray (aruray @ mpim-bonn.mpg.de)

We consider the Euler characteristics of closed orientable 2n-manifolds with a given fundamental group G, and highly-connected universal cover. We  strengthen the 4-dimensional Hausmann-Weinberger estimates and extend to higher dimensions.  As an application we obtain new restrictions for non-abelian finite groups arising as fundamental groups of rational homology 4-spheres.

Group actions on manifolds, rigidity and local rigidity

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Speaker: 
Thang Nguyen
Zugehörigkeit: 
University of Michigan/MPIM
Datum: 
Don, 23/03/2023 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

[MPI-Oberseminar currently in-person only]

Differential graded Lie algebras and stability problems in geometry

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Speaker: 
Karandeep Singh
Zugehörigkeit: 
KU Leuven
Datum: 
Mit, 05/04/2023 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

Given a Lie algebroid structure on a vector bundle $A$ and a leaf $L$ of this Lie algebroid, a natural question is whether all nearby Lie algebroid structures on A have a leaf which is diffeomorphic to $L$. This question was answered by M. Crainic and R. Fernandes.

Schinzel's Hypothesis with probability 1 and rational points on varieties in families

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Speaker: 
Efthymios Sofos
Organiser(s): 
MPIM/University of Glasgow
Datum: 
Mit, 19/04/2023 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We prove that Schinzel's Hypothesis (H) holds for 100% of polynomials of any fixed degree. I will discuss the proof of this result and also explain how to deduce from this the Hasse principle for certain surfaces.

tba

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Speaker: 
Francis Bischoff
Zugehörigkeit: 
Oxford
Datum: 
Mit, 26/04/2023 - 10:30 - 12:00
Location: 
MPIM Seminar Room
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