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Autumn Semester 2020

Date / Time Speaker Title Location
6 October 2020
16:30-17:30 		Dr. Gaultier Lambert
Universität Zürich
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Zurich Graduate Colloquium

Title What is.. a random unitary matrix?
Speaker, Affiliation Dr. Gaultier Lambert, Universität Zürich
Date, Time 6 October 2020, 16:30-17:30
Location KOL H312
What is.. a random unitary matrix?
KOL H312
13 October 2020
16:30-17:30 		Yannick Krifka
ETHZ
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Zurich Graduate Colloquium

Title What is.. Benjamini-Schramm convergence?
Speaker, Affiliation Yannick Krifka, ETHZ
Date, Time 13 October 2020, 16:30-17:30
Location KOL H312
Abstract In a seminal paper Benjamini and Schramm introduced a notion of distributional limits for finite graphs. In this talk I will give an elementary introduction to Benjamini--Schramm convergence of finite graphs. We will then see how to generalize this to the more geometric context of Riemannian manifolds. If time permits I will explain how this can be used to obtain a new compactification of the moduli space of finite area hyperbolic surfaces.
What is.. Benjamini-Schramm convergence?read_more
KOL H312
20 October 2020
16:30-17:30 		Thomas Lehéricy
Universität Zürich
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Zurich Graduate Colloquium

Title What is.. Brownian geometry?
Speaker, Affiliation Thomas Lehéricy, Universität Zürich
Date, Time 20 October 2020, 16:30-17:30
Location KOL H312
Abstract Planar maps are graphs drawn on the sphere in such a way that their edges do not intersect, seen up to deformations of the underlying sphere. Given a map \(m\), we can equip the set of its vertices with the graph distance \(d\), where \(d(x,y)\) is the smallest number of edges of any path between \(x\) and \(y\). Doing so makes \(m\) into a metric space; picking \(m\) at random is a first step towards defining a "natural" random metric space: the Brownian map. I will present some objects and ideas of random maps.
What is.. Brownian geometry?read_more
KOL H312
3 November 2020
16:30-17:30 		Alberto Merici
Universität Zürich
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Zurich Graduate Colloquium

Title What is.. geometric class field theory?
Speaker, Affiliation Alberto Merici, Universität Zürich
Date, Time 3 November 2020, 16:30-17:30
Location Onlline Seminar
Abstract Number theory is "the study of equations with coefficients in Q", and in more high-level terms this can be rephrased as "the study of the absolute Galois group of Q", i.e. the Galois group G of the algebraic closure of Q. Class field theory is then "the study of the abelianization of G". The main theorems of class field theory, due to Artin, Tate and others, give a very satisfactory description of this group in terms of reciprocity maps. The aim of Geometric class field theory is then to apply this theory to geometric objects: the field Q is substituted with the field of rational functions of an algebraic curve over a finite field, using the well-established philosophy that says that "Q is the field of rational functions of an algebraic curve over an hypothetical field with one element". If time permits, I will give a glimpse of some generalizations of this theory to the higher dimensional case and its link to motives.
What is.. geometric class field theory?read_more
Onlline Seminar
10 November 2020
16:30-17:30 		Severin Schraven
Universität Zürich
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Zurich Graduate Colloquium

Title What is.. Bose-Einstein condensation?
Speaker, Affiliation Severin Schraven, Universität Zürich
Date, Time 10 November 2020, 16:30-17:30
Location Onlline Seminar
Abstract In the 1920's Bose and Einstein predicted that dilute gases of bosons at very low temperatures exhibit a special state of matter, the so-called Bose-Einstein condensation, where almost all particles can be described by the same one-particle wave function. The aim of this talk is to give a mathematical formulation of this physics problem and give an overview over the known results. In addition, we will investigate the asymptotics of the low-energy excitation spectrum for systems with large number of particles.
What is.. Bose-Einstein condensation?read_more
Onlline Seminar
17 November 2020
16:30-17:30 		Dr. Benjamin Brück
ETH Zürich
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Zurich Graduate Colloquium

Title What is.. a Coxeter group?
Speaker, Affiliation Dr. Benjamin Brück, ETH Zürich
Date, Time 17 November 2020, 16:30-17:30
Location Onlline Seminar
Abstract Coxeter groups are abstract versions of reflection groups. They can be easily defined using generators and relations but have many interesting geometric and combinatorial properties and occur in various areas of mathematics, e.g. as Weyl groups in Lie theory. I will give a short introduction to this family of groups, talk about basic properties and present examples.
What is.. a Coxeter group?read_more
Onlline Seminar
1 December 2020
16:30-17:30 		Ödül Tetik
Universität Zürich
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Zurich Graduate Colloquium

Title What is.. a Drinfeld associator?
Speaker, Affiliation Ödül Tetik, Universität Zürich
Date, Time 1 December 2020, 16:30-17:30
Location Onlline Seminar
Abstract Drinfeld associators constitute a rather mysterious point of contact between quantum groups (where they originated), knot theory, number theory/algebraic geometry, conformal field theory, and quantisation/Kontsevich formality. I will introduce them from a few different perspectives, discuss Drinfeld's original construction, and end with some speculations on higher knot theory and higher algebra/gauge theory.
What is.. a Drinfeld associator?read_more
Onlline Seminar
8 December 2020
17:30-18:30 		Dr. Karan Khathuria
Universität Zürich
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Zurich Graduate Colloquium

Title What is.. private information retrieval?
Speaker, Affiliation Dr. Karan Khathuria, Universität Zürich
Date, Time 8 December 2020, 17:30-18:30
Location Onlline Seminar
Abstract Have you ever wondered about how your privacy is maintained when you are accessing a public database (like Netflix or stock markets)? and what kind of request do you send to the server to access a specific file, without letting the server know which file is requested? In this talk, we will address these questions. In order to ensure that not even the owner of the database can determine the files that the user has requested, the communication between the two parties (the server and the user) is done via private information retrieval (PIR) schemes. The main aim of this talk is to introduce PIR schemes from a mathematical point of view and to discuss the known PIR schemes for different types of database settings (single-server or multiple-server). Some keywords that illustrate the kind of mathematics we will see in this talk: coding theory (= linear algebra + finite rings), complexity theory, quadratic residues, lattice theory, etc.
What is.. private information retrieval?read_more
Onlline Seminar

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