Zurich graduate colloquium

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Spring Semester 2020

Date / Time

Speaker

Title

Location

25 February 2020
16:30-17:30

Davide Spriano
ETHZ

Event Details

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

Event Details

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

Event Details

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

Event 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

Event Details

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

Event 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

Event 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

Event 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

Event 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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