Guest Talks Fall 2024
- Leopold Zoller (LMU München)
30 October 2024, 12:00, Aula B6
On the Toral Rank Conjecture
Abstract: The Toral Rank Conjecture states that the total Betti number of a compact space with a free torus action is at least as big as the total Betti number of the acting torus. This conjecture, originally due to Steve Halperin, has been open for over 40 years and has become a central open question in rational homotopy theory. In this talk, we will give an introduction to the conjecture and its current state. Furthermore, we will discuss connections to related conjectures in commutative algebra and recent advances in the field. This talk is partly based on joint work with Manuel Amann.
Past Seminars
- Infinity operads (Spring 2024)
- Guest talks (Spring 2024)
- Infinity cosmoi (Fall 2023)
- Guest talks (Spring 2023)
- Lecture series: Introduction to equivariant homotopy theory (Spring 2023)
- Tame homotopy theory and transformation groups (Spring 2023)
- Infinity topoi (Fall 2022)
- Deformation theory of complex manifolds and higher homotopical structures (Spring 2022)
- Guest talks (Fall 2021)
- Models for infinity-categories (Fall 2021)
- Higher homotopical structures (Spring 2021)
- p-Adic homotopy theory (Spring 2021)
- Fall Seminar 2020 (Fall 2020)
- Homotopy type theory (Spring 2020)
- Geometric uses of persistent homology (Fall 2019)
- Guest talks (Spring 2019)
- Presentable infinity categories (Fall 2018 and Spring 2019)
- Guest talks (Spring 2018)
- Homotopy types for Khovanov homology (Spring 2018)
- Fall Seminar 2017 (Fall 2017)
- Reading group on ∞-categories (Fall 2016)
- Postnikov towers and localization (Spring 2015)
- Spectral sequences (Fall 2014)
- Higher categories (Spring 2013)
- Noncommutative motives (Fall 2011)
- Spring Seminar 2011 (Spring 2011)
- Deformation theory (Fall 2010)
- Summer Seminar 2010 (Summer 2010)
- DG-categories (Spring 2010)
- Topological quantum field theories (Fall 2009)
- Quantum field theories (Fall 2009)