Departement Mathematik

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Herbstsemester 2018

Datum / Zeit Referent:in Titel Ort
25. September 2018
17:15-18:30 		Davide Spriano
ETHZ
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Zurich Graduate Colloquium

Titel What is... a formal language?
Referent:in, Affiliation Davide Spriano, ETHZ
Datum, Zeit 25. September 2018, 17:15-18:30
Ort KO2 F 150
Abstract The theory of formal languages starts in the sixties with the work of Noam Chomsky. Chomsky conjectured that all human languages can be seen as particular instances of what were afterwards called "Chomsky grammars". Due to the rigorous nature of Chomsky grammars, several mathematicians took interest in his work and established fruitful analogies between the theory of formal languages and some aspects of group theory.,In this talk we will first provide a general introduction to formal languages and their relation to human language and to automata. Afterwards we will show that to every group it is possible to naturally associate a formal language. Finally, we will survey the equivalence between some properties of such a language and some algebraic property of the group.
What is... a formal language?read_more
KO2 F 150
2. Oktober 2018
17:15-18:30 		Mario Schulz
ETHZ
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Zurich Graduate Colloquium

Titel What is... a gemoetric flow?
Referent:in, Affiliation Mario Schulz, ETHZ
Datum, Zeit 2. Oktober 2018, 17:15-18:30
Ort KO2 F 150
Abstract Geometric flows were originally an approach to solve geometric and topological problems. We introduce four different examples of geometric flows (the harmonic map heat flow, the mean curvature flow, the Ricci flow and the Yamabe flow) together with the corresponding geometric problem. Some animations will reveal differences and similarities between these flows. In the case of the Yamabe flow, we study the evolution of curvature which is given by a parabolic partial differential equation and derive basic estimates.
What is... a gemoetric flow?read_more
KO2 F 150
16. Oktober 2018
17:15-18:30 		Dr. Honglu Fan
ETHZ
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Zurich Graduate Colloquium

Titel What is... the number of lines on a cubic surface?
Referent:in, Affiliation Dr. Honglu Fan, ETHZ
Datum, Zeit 16. Oktober 2018, 17:15-18:30
Ort KO2 F 150
Abstract In projective space of dimension 3, consider the zero set of a (generic) homogeneous cubic polynomial with 4 variables. In this talk, I will answer how many lines this set contains.
What is... the number of lines on a cubic surface?read_more
KO2 F 150
23. Oktober 2018
17:15-18:30 		Dr. Daniel Tubbenhauer
Universität Zürich
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Zurich Graduate Colloquium

Titel What is... (2)-representation theory?
Referent:in, Affiliation Dr. Daniel Tubbenhauer, Universität Zürich
Datum, Zeit 23. Oktober 2018, 17:15-18:30
Ort KO2 F 150
Abstract This talk will be an introduction to the fields of representation and (2)-representation theory (the latter of which one can think as being a categorical lift of the former), as well as a survey of the state of the arts. I will focus to explain the main ideas and prototypical examples.
What is... (2)-representation theory?read_more
KO2 F 150
6. November 2018
17:15-18:30 		Andreas Wieser
ETHZ
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Zurich Graduate Colloquium

Titel What is... the shape of a lattice?
Referent:in, Affiliation Andreas Wieser, ETHZ
Datum, Zeit 6. November 2018, 17:15-18:30
Ort KO2 F 150
Abstract In this talk we introduce the shape of a lattice (here a discrete subgroup of Euclidean space) which roughly captures the form of a fundamental parallelotope in it. We will particularly focus on primitive integral lattices and then address old and new questions surrounding such lattices and their shapes. The main (equidistribution) conjecture we discuss answers amongst other things the question whether or not the orientations of such lattices yield any information about their shapes and vice versa.
What is... the shape of a lattice?read_more
KO2 F 150
13. November 2018
17:15-18:30 		Dr. Peter Feller
ETHZ
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Zurich Graduate Colloquium

Titel What is... the generalized Poincaré conjecture?
Referent:in, Affiliation Dr. Peter Feller, ETHZ
Datum, Zeit 13. November 2018, 17:15-18:30
Ort KO2 F 150
Abstract The Poincare Conjecture asserts that, if a 3-manifold appears to be the 3-sphere from the point of view of simple algebraic invariants, then it is the 3-sphere. We explain the statement and its generalizations to arbitrary dimensions, known as the Generalized Poincare Conjecture, in detail. We then turn to the resolution of the Poincare Conjecture for large dimensions by Smale, which surprisingly turns out to be much simpler than the 3-dimensional case. We will explain the fundamental difference between high and low-dimension that forms the core of Smale's argument in completely elementary terms and provide a very rough sketch of the proof.
What is... the generalized Poincaré conjecture?read_more
KO2 F 150
20. November 2018
17:15-18:30 		Violetta Weger
Universität Zürich
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Zurich Graduate Colloquium

Titel What is... the McEliece system?
Referent:in, Affiliation Violetta Weger, Universität Zürich
Datum, Zeit 20. November 2018, 17:15-18:30
Ort KO2 F 150
Abstract In 1978 Robert J. McEliece came up with the first code-based cryptosystem. It is based on error-correcting codes and many variants have been proposed until today. Since the underlying problem of decoding a random linear code is an NP-hard problem, this system is considered to be quantum secure, i.e. it would resist attacks from a quantum computer. In this talk we will explain the McEliece cryptosystem, its advantages and the disadvantages we try to overcome.
What is... the McEliece system?read_more
KO2 F 150
4. Dezember 2018
17:15-18:30 		Benedetta Cavalli
Universität Zürich
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Zurich Graduate Colloquium

Titel What is... a branching process?
Referent:in, Affiliation Benedetta Cavalli, Universität Zürich
Datum, Zeit 4. Dezember 2018, 17:15-18:30
Ort KO2 F 150
Abstract During the Victorian age, several aristocratic english families started to fear that their family names could become extinct. Was there something real behind that concern or was it just unfounded paranoia? In 1873 Sir Francis Galton asked the following question in an issue of the Educational Times: "How many male children (on average) must each generation of a family have in order for the family name to continue in perpetuity? Soon after, Reverend Henry William Watson replied with a solution and in 1874 the two wrote a joint paper entitled "On the probability of extinction of families". This marks the beginning of the study of what are today called branching processes: powerful probabilistic tools for exploiting branching structures naturally arising not only in population dynamics but also in many other fields. The aim of this lecture is to give an introduction to the topic and, of course, a precise answer to Galton's question.
What is... a branching process?read_more
KO2 F 150
18. Dezember 2018
17:15-18:30 		Thomas Gemunden
ETHZ
Details

Zurich Graduate Colloquium

Titel What is... a vertex operator algebra?
Referent:in, Affiliation Thomas Gemunden, ETHZ
Datum, Zeit 18. Dezember 2018, 17:15-18:30
Ort KO2 F 150
What is... a vertex operator algebra? (ABGESAGT)
KO2 F 150

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