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Seminar

Series of talks or seminars.

Friedrich Hirzebruch Lecture

Posted in
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

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.

This often leads to further mathematical interaction, and in any case it is very interesting to know what one's colleagues are working on.

This implies two things:

  1. When you speak at the Oberseminar you should try to make sure that your talk is understandable and interesting to everyone, not just to the people in the same field. (We have many specialized seminars where you can present your work at a more technical level.)
  2. Please always attend the Oberseminar, even if the title of the talk seems technical, because you know that the speaker is going to do a good job. The only reason for absence is that the talk is in your field and thus will be too easy for you.

We hope to see you at the Oberseminar!

Christian Kaiser (organizer)

The directors:
Prof. Ballmann (em.)
Prof. Faltings
Prof. Gaitsgory
Prof. Harder (em.)
Prof. Hirzebruch †
Prof. Manin (em.)
Prof. Scholze
Prof. Teichner
Prof. Zagier (em.)
 


Upcoming talks

Thu, 28 Mar 2024


Past talks

For the abstracts click on the titles or see the list of abstracts.

Thu, 21 Mar 2024

Thu, 14 Mar 2024

Thu, 07 Mar 2024

Thu, 29 Feb 2024

Thu, 22 Feb 2024

Thu, 15 Feb 2024

Thu, 01 Feb 2024

Thu, 25 Jan 2024

Thu, 18 Jan 2024

15:00 - 16:00
Nikolai Konovalov

Thu, 11 Jan 2024

Thu, 14 Dec 2023

Thu, 07 Dec 2023

Thu, 30 Nov 2023

Thu, 23 Nov 2023

Thu, 16 Nov 2023

Thu, 09 Nov 2023

Thu, 02 Nov 2023

Thu, 26 Oct 2023

Thu, 19 Oct 2023

Thu, 12 Oct 2023

Thu, 28 Sep 2023

Thu, 21 Sep 2023

Thu, 07 Sep 2023

Thu, 31 Aug 2023

Thu, 24 Aug 2023

15:00 - 16:00
Juan Esteban Rodríguez Camargo

Thu, 17 Aug 2023

Thu, 10 Aug 2023

Thu, 03 Aug 2023

Thu, 27 Jul 2023

Thu, 20 Jul 2023

15:00 - 16:00
Raffael Stenzel

Thu, 13 Jul 2023

Thu, 06 Jul 2023

Thu, 29 Jun 2023

Thu, 15 Jun 2023

Thu, 01 Jun 2023

15:00 - 16:00
Sergio Zamora Barrera

Thu, 25 May 2023

15:00 - 16:00
Olivia-Mirela Dumitrescu

Thu, 11 May 2023

15:00 - 16:00
Alexander Goncharov

Thu, 04 May 2023

Thu, 27 Apr 2023

Thu, 20 Apr 2023

Thu, 13 Apr 2023

Thu, 06 Apr 2023

Thu, 23 Mar 2023

Thu, 16 Mar 2023

15:00 - 16:00
Roberto Ladu

Thu, 02 Mar 2023

Thu, 23 Feb 2023

Thu, 09 Feb 2023

Thu, 02 Feb 2023

Thu, 26 Jan 2023

15:00 - 16:00
Gurbir Dhillon

Thu, 19 Jan 2023

Seminar Circle method for Diophantine equations

Posted in
Organiser(s): 
Tian Wang (MPIM) and Doyon Kim (U Bonn)
Date: 
Mon, 19/02/2024 - 14:00 - Mon, 15/07/2024 - 16:00
Location: 
MPIM Seminar Room

We are organizing a seminar that aims to offer an introduction to the circle method. Initially developed by Hardy, Littlewood, and Ramanujan, the circle method has been successfully applied to many problems in number theory, including Waring’s problem, Goldbach’s weak conjecture, and estimating the number of partitions. We will follow Davenport's lecture notes* that explains the Hardy-Littlewood circle method with a minimum of fuss by looking at  its applications to Waring's problem.

We plan to cover the first ten sections of * and we will meet on Mondays starting from February 19 at 2:00-4:00 pm in the seminar room. All who are interested in this topic are welcome to join!

(*Analytic methods for Diophantine equations and Diophantine inequalities. The University of Michigan, Fall Semester, 1962)

 

 

Abstract Homotopy Theory Seminar

Posted in
Organiser(s): 
Viktoriya Ozornova
Date: 
Wed, 07/02/2024 - 12:00 - Wed, 18/12/2024 - 13:30
Location: 
MPIM Seminar Room

MPIM Math-Phys Seminar

Posted in
Organiser(s): 
David Prinz, David Aretz
Affiliation: 
MPIM
Date: 
Thu, 01/02/2024 - 11:30 - Thu, 18/07/2024 - 14:00
Location: 
MPIM Seminar Room

A seminar about different topics in Mathematical Physics, broadly around Quantum Field Theory, Algebraic Topology and Differential Geometry. Our meetings are hosted by an assigned speaker, who gives an informal introduction to his topic. Alongside, we will have questions from the audience, which typically lead to a lively discussion.

Seminar-Webseite: https://davidprinz.org/seminar/

IMPRS seminar on various topics: Mostow rigidity

Posted in
Date: 
Tue, 09/01/2024 - 10:15 - Tue, 31/12/2024 - 11:45
Location: 
MPIM Lecture Hall

IMPRS seminar on various topics: Single talk

Posted in
Organiser(s): 
Christian Kaiser
Affiliation: 
MPIM
Date: 
Mon, 27/11/2023 - 10:15 - Mon, 29/01/2024 - 11:45
Location: 
MPIM Lecture Hall

IMPRS seminar on various topics: Schur–Weyl duality

Posted in
Organiser(s): 
Christian Kaiser
Date: 
Tue, 17/10/2023 - 10:15 - 11:45

Infinty: Introducing New Faces in Number TheorY

Posted in
Organiser(s): 
Pieter Moree
Date: 
Wed, 18/10/2023 - 15:30 - 16:00
Location: 
MPIM Lecture Hall

Short presentations of new arrivals at MPIM working in number theory.

Seminar "Arithmetic Geometry and Representation Theory"

Posted in
Organiser(s): 
Jessica Fintzen (Universität Bonn), Peter Scholze (MPIM)
Date: 
Tue, 10/10/2023 - 15:00 - Tue, 30/01/2024 - 17:00
Location: 
MPIM Lecture Hall

Bonn symplectic geometry seminar

Posted in
Organiser(s): 
Nate Bottman, Laurent Cote, Yash Deshmukh
Date: 
Tue, 12/09/2023 - 13:00 - Fri, 19/07/2024 - 14:00
Location: 
MPIM Lecture Hall

Exponential Sum Reading Seminar

Posted in
Organiser(s): 
Tian Wang (MPIM), Huimin Zhang (Universität Bonn)
Date: 
Fri, 13/10/2023 - 10:00 - Fri, 02/02/2024 - 12:00
Location: 
MPIM Seminar Room

We are excited to announce a semester-long reading seminar on the exponential sum over finite fields. Throughout the seminar, participants will delve into the interaction of analytic number theory and arithmetic geometry. Specifically, we will learn Stepanov's “elementary” method to prove Weil’s Conjecture for curves over finite fields. We kindly invite all Ph.D students and postdocs who are interested in this topic.

The main reference is “Equations over Finite Fields: An Elementary Approach” by Schmidt. We will try to cover Chapter I, II, IV of the book. More details will be discussed during the organization meeting.

 

Seminar on Abstract Homotopy Theory

Posted in
Organiser(s): 
Nima Rasekh, Viktoriya Ozornova
Date: 
Wed, 16/08/2023 - 15:00 - Thu, 17/08/2023 - 15:00
Location: 
MPIM Seminar Room

IMPRS seminar on various topics: Farrel–Jones-Conjecture

Posted in
Organiser(s): 
Christian Kaiser
Date: 
Thu, 15/06/2023 - 12:15 - 13:45
Location: 
MPIM Lecture Hall

IMPRS seminar on various topics: Cerf theory

Posted in
Organiser(s): 
Christian Kaiser
Date: 
Tue, 30/05/2023 - 16:30 - 18:00
Location: 
MPIM Lecture Hall

Student Seminar on Derived Geometry

Posted in
Date: 
Thu, 04/05/2023 - 16:00 - 17:30
Location: 
MPIM Seminar Room

Luuk Stehouwer

IMPRS seminar on various topics: Graded geometry

Posted in
Organiser(s): 
Christian Kaiser
Affiliation: 
MPIM
Date: 
Mon, 24/04/2023 - 12:30 - 14:00

Contact: Christian Kaiser (kaiser @ mpim-bonn.mpg.de)

Course on slice knots and knot concordance

Posted in
Organiser(s): 
Aru Ray, Isaac Sundberg
Date: 
Tue, 04/04/2023 - 10:15 - Tue, 11/07/2023 - 12:00
Location: 
MPIM Lecture Hall
 
Course webpage: https://imsundberg.github.io/concordance/
 
Target audience: advanced bachelor's students, master's students, PhD students, and researchers who are not experts, including those not in low-dimensional topology
Prerequisites: point-set topology and some algebraic topology
 
Our plan is to talk about the basics of this area, highlighting open problems, numerous invariants and obstructions ranging from purely topological to smooth, instructive examples and constructions, applications to other interesting questions, etc. 

 

 

Low-dimensional topology seminar

Posted in
Organiser(s): 
Roberto Ladu, Arunima Ray, Isaac Sundberg, Paula Truoel, Laura Wakelin, Hugo Zhou
Date: 
Thu, 23/03/2023 - 12:00 - Thu, 29/02/2024 - 13:00
Location: 
MPIM Lecture Hall

Organizers: Roberto Ladu, Arunima Ray, Isaac Sundberg, Paula Truoel, Laura Wakelin, Hugo Zhou

Reading seminar on six functors for equivariant cohomology

Posted in
Organiser(s): 
Maarten Mol, ...
Date: 
Wed, 22/03/2023 - 14:00 - Wed, 12/07/2023 - 14:00
Location: 
MPIM Seminar Room

Time/Venue

Time/venue: Thursday 10:15-12:00, Max Planck Institute for Mathematics, seminar room

Seminar description

Sheaves and cohomology are ubiquitous in geometry and topology. The derived category of sheaves on a space, together with the so-called "six functors" (and the various relations between them), form an "enhancement" of the cohomology groups of spaces that provides more insight into the structure behind these cohomology groups (see e.g. [A1]).

Equivariant cohomology is a cohomology theory for G-spaces (spaces equipped with a group action), that remembers much more about the G-space than just the singular cohomology of its orbit space (rather, it should be thought of as cohomology of the "quotient stack"). In the book Equivariant sheaves and functors [1], Bernstein and Lunts construct a generalization of the aforementioned derived category and six functors for G-spaces, that forms an "enhancement" of equivariant cohomology. 

The aim of this reading seminar will be to get to understand parts I and II of this book, with as our end-goal Theorem 12.7.2.  Before turning to this book, we will spend some time to first learn about the more classical story for sheaves on spaces (without a group action). 

Prerequisites

Some knowledge about abelian categories will probably be assumed. A basic knowledge of Lie groups is also useful. 

Seminar organization

The seminar will have weekly talks of 1:00-1:30 hours. 

Seminar plan

  1. Introduction to sheaf theory (23 March 2023)
    Sheaves as pre-sheaves and as étalé spaces, local systems, Serre-Swan, push-forward, pull-back, lower shriek.  
  2. Introduction to triangulated categories (30 March 2023)
    Definition of triangulated categories, the category K(A). (Weibel 10.1 and 10.2)
  3. The derived category of an abelian category (6 April 2023)
    Localization, construction of the derived category,  derived functors (Weibel 10.3-10.5)
  4. Verdier duality for sheaves on nice topological spaces I: preparation (13 April 2023)
    Composition formulas (including base change), soft sheaves, cohomological dimension.
  5. Verdier duality for sheaves on nice topological spaces II: proof   (27 April 2023)
    Proof of Verdier duality, examples.
  6. Further properties of six functors for topological spaces (4 May 2023)
    Properties of upper-shriek, smooth base change, acyclic maps and remainder. (Bernstein-Lunts Chapter 1)
  7. Definition of the bounded equivariant derived category  (11 May 2023)
    (Bernstein-Lunts 2.1-2.3, parallel part of 2.9)
  8. Further properties of the bounded equivariant derived category  (18 May 2023)
    Description in terms of fibered categories, structure of triangulated category (Bernstein-Lunts 2.4, 2.5, 2.7, parallel part of 2.9)
  9. Introduction to t-structures on triangulated categories  (25 May 2023)
    To be decided...
  10. T-structure on the bounded equivariant derived category  (1 June 2023)
    Simplicial description of the equivariant derived category, the t-structure and its heart (Berstein-Lunts Appendix B to Chapter 2)
  11. To be decided...  (... June 2023)

The dates of the session are subject to changes and not strict since some topics may take more time than an entire meeting and some less. 

Literature

 

Textbooks

[1] J. Bernstein and V. Lunts, Equivariant sheaves and functors, Springer-Verlag 1994.

[2] A. Borel et al. , Intersection cohomology, Birkhauser 1984. 

[3] B. Iversen, Cohomology of sheaves, Springer-Verlag 1986.

[4] C.A. Weibel, An introduction to homological algebra, Cambridge University Press 1994. 

Additional literature

[A1] Martin Gallauer, https://homepages.warwick.ac.uk/staff/Martin.Gallauer/docs/m6ff.pdf

More to be added along the way. 

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