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Spring Semester 2024

Date / Time Speaker Title Location
5 March 2024
15:30-16:30 		Laura Marino
IMJ Paris
Event Details

Zurich Graduate Colloquium

Title What is... a rational tangle?
Speaker, Affiliation Laura Marino, IMJ Paris
Date, Time 5 March 2024, 15:30-16:30
Location KO2 F 150
Abstract ''Knot theory is the study of knots, that is embedded circles into R^3 (or S^3) considered up to isotopy. A generic intersection of a knot with a 3-ball is called a tangle. In this talk, I will focus on tangles of a particular kind, called rational tangles. These tangles are in 1:1-correspondence with rational numbers and share many of their properties. After introducing the relevant ingredients and results, I will present the proper rational unknotting number, an invariant of knots defined in terms of rational tangles.
What is... a rational tangle?read_more
KO2 F 150
12 March 2024
16:30-17:30 		Segev Gonen Cohen
ETHZ
Event Details

Zurich Graduate Colloquium

Title What is... Hilbert's 17th problem?
Speaker, Affiliation Segev Gonen Cohen, ETHZ
Date, Time 12 March 2024, 16:30-17:30
Location KO2 F 150
Abstract ''Suppose that we are given a polynomial which can be expressed as a sum of squares of polynomials with real coefficients, for example f(X,Y,Z) = (X-4Y)^2 + (17Z^3 - 4XYZ)^2. Then it is clear that no matter what (real) inputs we put in, we will get something positive. Minkowski, in his PhD defence, asked about the converse - suppose we have a polynomial that takes only positive values, must this be because it is a sum of squares? Hilbert, who was sat in the audience, realised that the answer is no; but modified the question slightly, and famously included it as the 17th in a list of open problems presented at the 1900 ICM in Paris. The main part of this talk will be devoted to the solution to this problem, relying on some algebraic foundations of Artin, and a nice model-theoretic proof due to Robinson. Time permitting we will look at modern day generalisations of this question, partial solutions, and (depending on audience interest) their applications to the Connes Embedding Problem, Kazhdan's Property (T), norm computability, and more. No knowledge of any of these topics will be assumed.
What is... Hilbert's 17th problem?read_more
KO2 F 150
19 March 2024
16:30-17:30 		Ana Marija Vego
ETHZ
Event Details

Zurich Graduate Colloquium

Title What is... an Iwasawa algebra?
Speaker, Affiliation Ana Marija Vego, ETHZ
Date, Time 19 March 2024, 16:30-17:30
Location KO2 F 150
Abstract ''The Iwasawa algebra is a key object in the study of p-adic L-functions, which are a central topic in number theory. The Iwasawa algebra arises naturally in this context as a tool for understanding the behavior of certain arithmetic invariants, such as Selmer groups and class groups, in towers of number fields. It provides a framework for studying these invariants in a unified way over all the levels of the tower. This allows us to investigate the arithmetic properties of number fields and their associated objects, particularly in the context of p-adic L-functions and Galois representations. It has applications in various areas of number theory, including the study of special values of L-functions, the Birch and Swinnerton-Dyer conjecture, and the structure of class groups of number fields. In this talk we will introduce Iwasawa algebras and give some basic properties. We'll then explore how these algebras are used in constructing Euler systems and obtaining p-adic L-functions. If time allows, we'll also touch on the main conjecture of Iwasawa theory.
What is... an Iwasawa algebra?read_more
KO2 F 150
9 April 2024
16:30-17:30 		Thomas Jacob
Universität Zürich
Event Details

Zurich Graduate Colloquium

Title What is... a motive?
Speaker, Affiliation Thomas Jacob, Universität Zürich
Date, Time 9 April 2024, 16:30-17:30
Location KO2 F 150
What is... a motive?
KO2 F 150
16 April 2024
16:30-17:30 		Yuriy Tumarkin
Universität Zürich
Event Details

Zurich Graduate Colloquium

Title What is... a translation surface?
Speaker, Affiliation Yuriy Tumarkin, Universität Zürich
Date, Time 16 April 2024, 16:30-17:30
Location KO2 F 150
Abstract ''If you take a square and glue the opposite sides together, you get a flat torus. What happens if you start with a different polygon instead, say a regular octagon? The result is a translation surface, a central object in the field of Teichmüller Dynamics. Of particular interest is the straight-line flow on a translation surface, a simple to define dynamical system that arises from the study of billiards in polygons. In this talk I will give a friendly introduction to a few of the key concepts of the field, such as the moduli space of translation surfaces, and the idea of using renormalisation to study the dynamics on a translation surface.
What is... a translation surface?read_more
KO2 F 150
30 April 2024
16:30-17:30 		Konstantin Andritsch
ETHZ
Event Details

Zurich Graduate Colloquium

Title What is... an adelic torus orbit?
Speaker, Affiliation Konstantin Andritsch, ETHZ
Date, Time 30 April 2024, 16:30-17:30
Location KO2 F 150
What is... an adelic torus orbit?
KO2 F 150
7 May 2024
16:30-17:30 		Diane Saint Aubin
Universität Zürich
Event Details

Zurich Graduate Colloquium

Title What is... Bose-Einstein condensation?
Speaker, Affiliation Diane Saint Aubin, Universität Zürich
Date, Time 7 May 2024, 16:30-17:30
Location KO2 F 150
What is... Bose-Einstein condensation?
KO2 F 150
14 May 2024
16:30-17:30 		Alessio Cangini
Uni Basel
Event Details

Zurich Graduate Colloquium

Title What is... the Schinzel-Zassenhaus conjecture?
Speaker, Affiliation Alessio Cangini, Uni Basel
Date, Time 14 May 2024, 16:30-17:30
Location KO2 F 150
What is... the Schinzel-Zassenhaus conjecture?
KO2 F 150
28 May 2024
16:30-17:30 		Dr. Samir Canning
ETHZ
Event Details

Zurich Graduate Colloquium

Title What is... the cohomology of moduli spaces of curves?
Speaker, Affiliation Dr. Samir Canning, ETHZ
Date, Time 28 May 2024, 16:30-17:30
Location KO2 F 150
What is... the cohomology of moduli spaces of curves?
KO2 F 150

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