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Autumn Semester 2022

Date / Time Speaker Title Location
25 October 2022
16:30-18:00 		Xenia Flamm
ETHZ
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Zurich Graduate Colloquium

Title What is... a higher Teichmüller space?
Speaker, Affiliation Xenia Flamm, ETHZ
Date, Time 25 October 2022, 16:30-18:00
Location KO2 F 150
Abstract Hyperbolic structures on a surface are equivalent to injective homomorphisms with discrete image from its fundamental group to PSL(2,R). These are the objects of study of classical Teichmüller theory. Replacing PSL(2,R) by a higher rank Lie group, such as PSL(n,R) for n at least 3, leads to the notion of a higher rank Teichmüller space. In this talk, we will define higher rank Teichmüller spaces, discuss their existence and properties, and see an example of how they arise as geometric structures on the surface. No prior knowledge on Lie groups or hyperbolic geometry is required.
What is... a higher Teichmüller space?read_more
KO2 F 150
8 November 2022
16:30-18:00 		Arno Wildi
Universität Zürich
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Zurich Graduate Colloquium

Title What is... categorification?
Speaker, Affiliation Arno Wildi, Universität Zürich
Date, Time 8 November 2022, 16:30-18:00
Location KO2 F 150
What is... categorification?
KO2 F 150
15 November 2022
16:30-18:00 		Lauro Silini
ETHZ
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Zurich Graduate Colloquium

Title What is... a Monge-Ampère equation?
Speaker, Affiliation Lauro Silini, ETHZ
Date, Time 15 November 2022, 16:30-18:00
Location KO2 F 150
Abstract This talk is designed to be a friendly invitation to the wild world of Partial Differential Equations. After introducing the fascinating and two-centuries old Monge-Ampère equation, and looking at its anatomy, we will trace its relation with the theory of optimal transportation. Time permitting, we will see how this applies to prove one of the most elegant equations of geometric analysis: the isoperimetric inequality.
What is... a Monge-Ampère equation?read_more
KO2 F 150
29 November 2022
16:30-18:00 		Dr. Mihajlo Cekic
Universität Zürich
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Zurich Graduate Colloquium

Title What is... a polynomial structure over a sphere?
Speaker, Affiliation Dr. Mihajlo Cekic, Universität Zürich
Date, Time 29 November 2022, 16:30-18:00
Location KO2 F 150
Abstract The main example of a polynomial structure on the unit sphere S^n is a non-constant polynomial map to another sphere S^r. We will discuss the possible values of (n, r) and the related constructions of polynomial structures. As an application, we will exhibit a link with two other apriori unrelated problems: 1) in spectral theory: ``Can one hear the shape of a drum?" for the Bochner (connection Laplacian) and 2) in dynamical systems: ergodicity of certain (partially hyperbolic) systems arising as flows of frames. This is joint work with Thibault Lefeuvre.
What is... a polynomial structure over a sphere?read_more
KO2 F 150
6 December 2022
16:30-18:00 		Chen Jiaming
ETHZ
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Zurich Graduate Colloquium

Title What is... a discrete Gaussian free field?
Speaker, Affiliation Chen Jiaming, ETHZ
Date, Time 6 December 2022, 16:30-18:00
Location KO2 F 150
What is... a discrete Gaussian free field?
KO2 F 150
20 December 2022
16:30-18:00 		Francesco Florian
Universität Zürich
Details

Zurich Graduate Colloquium

Title What is... a hierarchical matrix?
Speaker, Affiliation Francesco Florian, Universität Zürich
Date, Time 20 December 2022, 16:30-18:00
Location KO2 F 150
What is... a hierarchical matrix?
KO2 F 150

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