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Spring Semester 2020

Date / Time Speaker Title Location
25 February 2020
16:30-17:30 		Davide Spriano
ETHZ
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Zurich Graduate Colloquium

Title What are.. the ends of a group?
Speaker, Affiliation Davide Spriano, ETHZ
Date, Time 25 February 2020, 16:30-17:30
Location KO2 F 150
Abstract The key idea of geometric group theory is to treat groups as metric spaces and to find correspondences between algebraic and geometric properties. In this introductory talk, we will survey some basic construction and define the number of ends of a group. This is a simple, intuitive geometric invariant which has, nevertheless, deep consequences. A consequence of particular interest on which we will focus is Stalling's theorem about splittings over finite groups.
What are.. the ends of a group?read_more
KO2 F 150
10 March 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 10 March 2020, 16:30-17:30
Location KO2 F 150
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".
What is.. geometric class field theory?read_more (CANCELLED)
KO2 F 150
17 March 2020
16:30-17:30 		Dr. Konstantin Golubev
ETHZ
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Zurich Graduate Colloquium

Title What is.. an independent set?
Speaker, Affiliation Dr. Konstantin Golubev, ETHZ
Date, Time 17 March 2020, 16:30-17:30
Location KO2 F 150
What is.. an independent set? (CANCELLED)
KO2 F 150
28 April 2020
16:30-17:30 		Marcel Fenzl
Universität Zürich
Details

Zurich Graduate Colloquium

Title What is.. the car-parking problem?
Speaker, Affiliation Marcel Fenzl, Universität Zürich
Date, Time 28 April 2020, 16:30-17:30
Location KO2 F 150
What is.. the car-parking problem? (CANCELLED)
KO2 F 150
5 May 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 5 May 2020, 16:30-17:30
Location KO2 F 150
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 (CANCELLED)
KO2 F 150
5 May 2020
16:30-17:30 		Subhajit Jana
ETHZ
Details

Zurich Graduate Colloquium

Title What is.. the average value of an L-function?
Speaker, Affiliation Subhajit Jana, ETHZ
Date, Time 5 May 2020, 16:30-17:30
Location Onlline Seminar
Abstract L-functions which are objects like classical Riemann zeta function are some central objects in modern number theory. Several important and interesting questions in number theory and related fields (mathematical physics, homogeneous dynamics, spectral theory etc.) are directly or indirectly related to the question about the average size of special values of these L-functions. In this (very down to earth) talk I will try to explore some (folklore) conjectures about the (average) size of L-functions and progress towards them.
What is.. the average value of an L-function?read_more
Onlline Seminar
19 May 2020
16:30-17:30 		Alberto Merici
Universität Zürich
Details

Zurich Graduate Colloquium

Title What is.. geometric class field theory?
Speaker, Affiliation Alberto Merici, Universität Zürich
Date, Time 19 May 2020, 16:30-17:30
Location KO2 F 150
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 (CANCELLED)
KO2 F 150
19 May 2020
16:30-17:30 		Maxim Gerspach
ETHZ
Details

Zurich Graduate Colloquium

Title What is.. a random multiplicative function?
Speaker, Affiliation Maxim Gerspach, ETHZ
Date, Time 19 May 2020, 16:30-17:30
Location Onlline Seminar
Abstract Random multiplicative functions mark a crucial tool in studying the behaviour of the Riemann zeta function both heuristically and rigorously on short random intervals on the critical line. Moreover, they have a probabilistic structure that makes their study interesting in their own right. In my talk I will explain what they are, and try to outline how they behave and how they relate to the Riemann zeta function. I will attempt to keep things on a very accessible level and confine largely to heuristic discussions.
What is.. a random multiplicative function?read_more
Onlline Seminar
26 May 2020
16:30-17:30 		Ödül Tetik
Universität Zürich
Details

Zurich Graduate Colloquium

Title What is.. a Drinfeld associator?
Speaker, Affiliation Ödül Tetik, Universität Zürich
Date, Time 26 May 2020, 16:30-17:30
Location KO2 F 150
Abstract Drinfeld introduced his associators in the late 80's in his pioneering work on quantum groups. An associator in this original context is simply an assocativity isomorphism for comultiplication, needed to construct a certain kind of Hopf algebra, which is a type of quantum group. From the beginning, deep connections to topology (knot theory) and mathematical physics (conformal field theory) were explicit. It quickly became clear that associators are also tightly connected to an algebro-geometric object, the Grothendieck-Teichmüller group, conjectured to be isomorphic to the absolute Galois group of the rationals. Later, it was recognised that any associator gives a deformation quantisation of a Poisson manifold.

In this talk, I will introduce Drinfeld associators first in their original context, and then give a very simple and beautiful definition in terms of braids and chords, also defining the Grothendieck-Teichmüller group along the way. Then I will illustrate Drinfeld's original construction, explain how it falls out of conformal field theory, and wrap up with more on the connections to mathematical physics and topology.
What is.. a Drinfeld associator?read_more (CANCELLED)
KO2 F 150

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