Zurich graduate colloquium

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Autumn Semester 2022

Date / Time

Speaker

Title

Location

25 October 2022
16:30-18:00

Xenia Flamm
ETHZ

Event Details

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

Event Details

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

Event Details

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

Event Details

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

Event Details

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

Event 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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