Arbeitstreffen

Workshop on "Unstable Homotopy Theory", November 11 - 15, 2024

Unstable homotopy theory is about understanding the detailed structure and properties of topological spaces and morphisms between them. Central to this study is the concept of homotopy types (also known as ∞-groupoids, animas, or spaces), which classify topological spaces up to weak homotopy equivalence. This subject is rich in both computational and structural aspects: On the one hand, it has been a long-term project to compute algebraic invariant of homotopy types, such as homotopy groups and homology groups of a given topological space. On the other hand, it encompasses the ongoing search for algebraic structures within homotopy types. 

  Recently there have been many fruitful results in understanding homotopy types by using algebraic and higher categorical techniques. Examples include extension of Quillen’s Lie algebra model of rational homotopy types to higher v_n-periodic homotopy types, variants and generalizations of Mandell's results on models of finite type p-complete nilpotent CW-complexes, and significant progress in unstable motivic homotopy theory based on the theory of unstable localisation developed by Bousfield and Farjoun.

  With these latest advances one can study homotopy types from an algebraic point of view by using tools from the theory of operadic calculus, Koszul duality, Goodwillie calculus, higher category theory and higher algebra. We hope to gather experts and early-career mathematicians working in unstable homotopy theory and adjacent fields at our workshop, to communicate these important results, to promote the exchange of ideas and to stimulate future research in this area.

Video recordings of the talks can be found in our archive.

Speakers:

Benjamin Antieau (Northwestern University / MPIM Bonn) (cancelled)
Gregory Arone (Stockholm University)
Tom Bachmann (Johannes-Gutenberg-Universität Mainz)
William Balderrama (University of Bonn)
Shaul Barkan (Hebrew University Jerusalem)
Mark Behrens (University of Notre Dame)
Thomas Blom (University of Copenhagen / MPIM Bonn)
Robert Burklund (University of Copenhagen)
Xiaowen Dong (Johannes-Gutenberg-Universität Mainz)
Gijs Heuts (Utrecht University)
Geoffroy Horel (Université Sorbonne Paris Nord)
Nikolai Konovalov (University of Chicago / MPIM Bonn)
Josefien Kuijper (Utrecht University)
Adela Zhang (University of Copenhagen)

Organisers:

Tobias Barthel (MPIM Bonn)
Yuqing Shi (MPIM Bonn)

Registration:

The registration is closed as of October 1, 2024.

Contact:

uht$@$mpim-bonn$.$mpg$.$de

Warning: Hotel scam alert: There is a hotel scam going around contacting people from conferences regarding accommodation. Please DO NOT reply to them or
give out any credit card/personal information! We do not work with any travel agencies and we will only contact you through official MPIM e-mail-addresses.

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Policy for the Max Planck Society against discrimination, harassment and violence.

Workshop on "Dualisable Categories & Continuous K-theory", September 9 - 13, 2024

Algebraic K-theory is an object that sits at the centre of large parts of algebra, geometry, and topology because of its universal role as a receptacle to count other mathematical objects with signs. However, since its invention, a phenomenon often called the Eilenberg swindle - which says that the algebraic K-theory of a category which is too large must necessarily be zero - has been accepted as a fundamental limit to the theory. Recently, Alexander Efimov introduced a construction called continuous K-theory which allows one to make sense of algebraic K-theory of certain large categories known as dualisable categories in a nontrivial way, thus surmounting the problem of the aforementioned Eilenberg swindle. These dualisable categories encompass geometrically interesting and previously inaccessible examples such as sheaves on locally compact Hausdorff spaces. This new direction in K-theory has seen many recent advancements such as the rigidity of non-commutative motives by Efimov and the polynomial functoriality of continuous K-theory by Akhil Mathew and collaborators.

In light of these developments, this workshop aims to bring the community of mathematicians in algebra, topology, and geometry up to speed on the latest results and perspectives spawned by the theory of dualisable categories and continuous K-theory. The workshop will consist of two main lecture series by Alexander Efimov and Akhil Mathew, augmented by multiple exercise sessions, which we hope will allow for the participants to obtain a working knowledge on the subject. There will also be research talks as well as a session of short contributed talks by participants.

The main lecture series will be recorded and the recordings will be uploaded on the website. The talks will NOT be live streamed.

Main speakers:

Alexander Efimov (Einstein Institute of Mathematics, Hebrew University of Jerusalem)
Akhil Mathew (University of Chicago)

Speakers:

Maxime Ramzi (University of Copenhagen)
Peter Scholze (MPIM Bonn)
Maria Yakerson (Oxford University)

Registration

The registration is closed as of July 31, 2024.

Contact:

dualcat2024$@$mpim-bonn$.$mpg$.$de

Click here to watch recordings of the main lectures and talks.

_______________________________________________________________________________

Policy for the Max Planck Society against discrimination, harassment and violence.

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Exercises_for_the_workshop_on_dualisable_categories_and_continuous_K_theory.pdf	455.72 KB
Lecture_Notes_from_Akhil_Mathew_texed_by_Chirantan_Chowdhury.pdf	295.08 KB

Hybrid. via Zoom
Contact: Gaetan Borot (HU Berlin), Pieter Moree (MPIM), Maxim Smirnov (University of Augsburg)

The seminar of Yuri Ivanovich Manin started in Moscow and existed for more than half a century. With the passing away of Yuri Ivanovich in January 2023, it has been decided that the seminar will be discontinued, as it had always been tailor-made to his personality. We wish to honor the influence of the seminar, which offered a platform to many mathematicians, and pay homage to its creator. After a brief historical recollection by Mikhail Kapranov, we will end the seminar with two talks by Don Zagier and Matilde Marcolli, who were colleagues of Yuri Ivanovitch and knew him well.

The recordings are available here  https://archive.mpim-bonn.mpg.de/id/eprint/4867/

Update!
The workshop will take place remotely. More information and the program will follow.

The quest for solid foundations for $\infty$-categories started several decades ago, but from the mid-2000s there have been spectacular developments which excitingly accelerated the pace of progress. This workshop will focus on these objects, both in their foundations and in the applications to different fields of mathematics. The workshop consists of 4 minicourses on $\infty$-categories and on related topics which have benefited substantially from the $\infty$-categorical viewpoint.

We think this workshop will prove interesting for advanced Master students, PhD students, seasoned mathematicians from other areas who want to learn some new $\infty$-categorical approaches, and more generally for anybody interested in new developments with $\infty$-categories.

Minicourses

Bergner, Julie (University of Virginia) - Models for homotopical higher categories
Haugseng, Rune (Norwegian University of Science and Technology) - Introduction to $\infty$-operads
Nikolaus, Thomas (WWU Münster) - Higher Categories and Algebraic K-Theory
Barwick, Clark (University of Edinburgh) - Stratified spaces and exodromy

Registration

To register please use the registration webform. The registration will not be closed before August 2, 2020.

Contact

If you have any questions, please feel free to contact catsandapps@mpim-bonn.mpg.de.

Recordings
 

Julie Bergner Models for homotopical higher categories, Part I  Part II

Rune Haugseng Introduction to -operads,  Part I  Part II

Thomas Nikolaus Higher Categories and Algebraic K-Theory, Part I   Part II

Clark Barwick Stratified spaces and exodromy, Part I   Part II
 

SageMath (http://www.sagemath.org/) is an open source software for mathematical computations. It gathers hundreds of specialized libraries and softwares in a unified Python interface.

On the afternoon of July 24th, there will be a presentation of SageMath at MPI Bonn (1:00 - 4:00). After tea time (ie from 5pm) several SageMath experts will be there on the fourth floor in case you need help for installing SageMath on your computer or need advice on how to carry a specific computation.

This event is part of a week long workshop taking place at the Computer Science department of Bonn University.

More information on can be found at https://wiki.sagemath.org/days100

Workshop on 4-manifolds, September 16 - 20, 2019

Organizers

Confirmed Speakers:

Registration

The registration is closed.

Financial support

The deadline for financial support has passed.

Hotel reservations

If you would like us to make a hotel reservation for you, please state this on the registration webform. We can only honor requests for hotel reservations made by August 15, 2019. If you would like to make a hotel reservation by yourself you will find a list of hotels here.

Contact

If you have any questions, please feel free to contact 4-manifolds@mpim-bonn.mpg.de.
 

WARNING - HOTEL SCAM ALERT: Business Travel Management (BTM)
Note to conference participants: Please read the WARNING regarding a fraudulent travel and hotel booking scheme. All hotel bookings should only be made directly through our housing department (housing@mpim-bonn.mpg.de).

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This is the eleventh of a series of  short workshops jointly organized by the Geometry/Topology groups in Bonn, Nijmegen, and Utrecht, all situated along the Lower Rhine. The focus lies on the development and application of new structures in geometry and topology such as Lie groupoids, differentiable stacks, Lie algebroids, generalized complex geometry, topological quantum field theories, higher categories, homotopy algebraic structures, higher operads, derived categories, and related topics.

Webpages of the previous meetings: I (MPIM Bonn), II (Nijmegen), III (Utrecht), IV (Bonn), V (Nijmegen), VI (Utrecht), VII (Leuven), VIII (Bonn), IX (Nijmegen), X (Utrecht)

Speakers

Davide Alboresi
Yaël Fregier
Owen Gwilliam
Cary Malkievich
Lennart Meier
Joost Nuiten
Steffen Sagave

Program

Here are the links to the program and the abstracts as soon as they become available.

Registration

To register please use the registration webform. There is no registration fee. For any further inquiries please send an email to LowerRhineXI@mpim-bonn.mpg.de.

Financial support

Limited financial support is available. If you need support, please add a request on your registration webform with a brief justification. Please note that the workshop is relatively local in scope, so that we might be able to cover your accommodation but probably not your travel expenses. The Deadline is February 18, 2018.

Conference dinner

The conference dinner will be on Thursday evening at 18:00h at the institute.

Practical information

For practical information such as how to get to the institute and a list of hotels see here.

Last changed on January 22, 2018 by Christian Blohmann

Workshop "Young Researchers in String Mathematics"

November 27 - 30, 2017

The workshop is an occasion to foster interactions and initiate new collaborations between young researchers active in Germany and nearby countries, who are all interested in mathematical aspects of string theory: mirror symmetry, enumerative geometry of curves (Gromov-Witten theory, Donaldson-Thomas, stable pair invariants, ...) and their modularity, integrability, and algebraic properties, tropical geometry, topological recursion, wall-crossing phenomena and Bridgeland stability conditions, relations to gauge theory, geometric quantization, conformal field theory, etc.

Organizers

Murad Alim (Universität Hamburg) and Gaëtan Borot (MPIM)

Speakers

Andrea Brini (CNRS Montpellier/Imperial College)
Miranda Cheng (University of Amsterdam)
Michele Cirafici (IST Lisboa)
Sara Angela Filippini (Cambridge University)
Michel van Garrel (Universität Hamburg)
Owen Gwilliam (MPIM)
Lotte Hollands (Heriot-Watt University, Edimburgh)
Victoria Hoskins (Freie Universität Berlin)
Hans Jockers (BCTP Bonn)
Christian Lehn (Universität Chemnitz)
Jan Manschot (Trinity College Dublin)
Elli Pomoni (DESY Hamburg)
Johannes Rau (Universität Tübingen)
Thomas Reichelt (Universität Heidelberg)
Helge Ruddat (Universität Mainz)
Sarah Scherotzke (Universität Münster)
Maxim Smirnov (Universität Augsburg/MPIM)
Piotr Sułkowski (University of Warsaw)
Di Yang (MPIM)
Jie Zhou (Universität Köln)

Confirmed participants

Registration

The registration is closed.

For any further inquiries please send an email to YRMS2017@mpim-bonn.mpg.de.

Poster session

A poster session will take place Tuesday afternoon. PhD students and postdocs are welcome to submit their poster proposal (title and abstract) by October 31, 2017. The recommended size for posters is A0 or A1.

Financial support

Limited financial support is available. If you need support, you can add your request on the registration webform with a brief justification. Requests for financial support will have to be made by September 30, 2017.

Hotel reservations

If you would like us to make a hotel reservation for you, please state this on the registration webform. We can only honor requests for hotel reservations made by October 31, 2017. If you would like to make a hotel reservation by yourself you will find a list of hotels here.

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Registration   Participants   Practical Information

This meeting is part of the series of workshops Young Women in... 

The main lectures will be given by (note that the list of our main speakers is updated)

• Ailana Fraser
• Esther Cabezas-Rivas
• Julie Rowlett

The workshop provides a platform for female graduate students and postdocs in Geometry to present their research. The main lectures will be complemented by participants' talks and a poster exhibition.

Everybody is welcome to attend the workshop. We encourage all participants - male and female - to contribute a poster to our poster sessions and to apply for a contributed talk.

Title and abstract of your talk should be submitted to YWGeometry@mpim-bonn.mpg.de by February 15, 2017.

Limited financial support is available for female participants. Requests for funding can be made during registration. For full consideration, submit your funding request by January 15, 2017. 

We gratefully acknowledge the financial support from the Hausdorff Center for Mathematics and the Max Planck Institute for Mathematics. 

Click on image for a larger version of the group picture:

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