Zurich colloquium in mathematics

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Autumn Semester 2025

Date / Time Speaker Title Location
23 September 2025
16:30-18:15
Rob Morris
Instituto de Matemàtica Pura e Aplicada
Details

Zurich Colloquium in Mathematics

Title An exponential improvement for diagonal Ramsey
Speaker, Affiliation Rob Morris, Instituto de Matemàtica Pura e Aplicada
Date, Time 23 September 2025, 16:30-18:15
Location KO2 F 150
Abstract The Ramsey number R(k) is the minimum n such that every red-blue colouring of the edges of the complete graph on n vertices contains a monochromatic copy of K_k. It has been known since the work of Erdos and Szekeres in 1935, and Erdos in 1947, that 2^{k/2} < R(k) < 4^k, but until recently the only improvements were by lower order terms. In this talk I will give an introduction to the area, and also sketch the proof of a recent result, which improves the upper bound of Erdos and Szekeres by a (small) exponential factor. Based on joint work with Marcelo Campos, Simon Griffiths and Julian Sahasrabudhe.
An exponential improvement for diagonal Ramseyread_more
KO2 F 150
30 September 2025
16:30-18:15
Amnon Neeman
Università degli Studi di Milano
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Zurich Colloquium in Mathematics

Title Vanishing negative K-theory and bounded t-structures
Speaker, Affiliation Amnon Neeman, Università degli Studi di Milano
Date, Time 30 September 2025, 16:30-18:15
Location KO2 F 150
Abstract We will begin with a quick reminder of algebraic K-theory, and a few classical, vanishing results for negative K-theory. The talk will then focus on a striking 2019 article by Antieau, Gepner and Heller - it turns out that there are K-theoretic obstructions to the existence of bounded t-structures. The result suggests many questions. A few have already been answered, but many remain open. We will concentrate on the many possible directions for future research.
Vanishing negative K-theory and bounded t-structuresread_more
KO2 F 150
14 October 2025
16:30-18:15
Hong Wang
IHES and NYU Courant
Details

Zurich Colloquium in Mathematics

Title Kakeya sets in R^3
Speaker, Affiliation Hong Wang, IHES and NYU Courant
Date, Time 14 October 2025, 16:30-18:15
Location KO2 F 150
Abstract A Kakeya set is a compact subset of R^n that contains a unit line segment pointing in every direction. Kakeya set conjecture asserts that every Kakeya set has Minkowski and Hausdorff dimension n. We prove this conjecture in R^3 as a consequence of a more general statement about union of tubes. This is joint work with Josh Zahl.
Kakeya sets in R^3read_more
KO2 F 150
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