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Seminar - October 11, 1pm, lecture room M5 PDF Print

We will continue on Thursday, October 11, in M5 at 13.00 by the talk of:

A. Tokarčík

The aim of this lecture is to present the main results of van den Berg's paper "Path categories and propositional identity types," discussing an approach to providing a categorical model for perhaps the most intriguing aspect of intensional Martin-Löf type theory, (a variant of) the inductively defined family of identity types. In particular, a precise link between the syntactic category of a type theory with propositional identity types, (Joyal's) tribes with propositional identity types, path tribes and path categories is established. The material will be accompanied by a short introduction to the rules of the type theory and its categorical semantics.

 
Seminar - October 8, 10am, lecture room M5 PDF Print

The seminar on differential geometry will continue on October 8 from 10am in lecture room M5 by the lecture

Katharina Neusser:

C-projective equivalence in Kähler geometry

Abstract:
While a projective structure on a manifold is given by a class of affine connections that have the same (unparametrised) geodesics, a c-projective structure on a complex manifold is given by a class of affine complex connections that have the same ``J-planar'' curves. In this talk we will be mainly concerned with c-projective structures induced by Kähler metrics (via their Levi-Civita connections). We will present some work on the geometric and topological consequences of the existence of at least two c-projectively equivalent Kähler metrics, and on c-projective automorphism groups of Kähler manifolds. This talk is based on joint work with Calderbank--Eastwood--Matveev, and with Matveev.

I will try to balance the talk well so that those, who are unfamiliar with the topic, can follow well, but I also want to use the opportunity to give some more details about the proofs for those, who are and have already heard some short talks by me on the topic.

Last Updated on Wednesday, 03 October 2018 15:18
 
Seminar - October 16, 2pm, lecture room M5 PDF Print

The seminar on Applied mathematics will start on Monday, October 16, 2018, at 2pm, in the lecture room M5 with the lecture:

Mgr. Eva Janoušková:

Increased life expentancy due to sterilizing infection

 
18th mathematical hike - October 20th 2018 PDF Print

Dear Friends of Mathematics and Hikes,

You are cordially invited to our 18th mathematical hike! It's an opportunity for students and employees of our department to spend time together in the countryside.

The hike will take place on October 20th. Start at 08:57 at the bus stop "Mokrá Hora."

We have planned a 16 km hike from Mokrá Hora through Útěchov and Bílovice to Obřany. There's a possibility to make the hike shorter (leaving for Soběšice or going by a public transport from Bílovice to Brno).

We are planning our next hikes on 24th of November, 15th of December.
More info, photos and chronicle at http://conference.math.muni.cz/vylety/. (in Czech)

We look forward to seeing you.

Jana Bartoňová and Jonatan Kolegar, organizers,
Jan Slovák, Director of the Department of Mathematics and Statistics

 
Seminar - September 24, 10am, lecture room M5 PDF Print

The seminar on Differential geometry will start on Monday, September 24, 2018, at 10.00, in the lecture room M5 with the first lecture:

Henrik Winther:

Title: Symmetries of complex submanifolds of quaternionic manifolds

Abstract:
The generalized Feix construction (by A.Borowka, D.Calderbank)  identifies c-projective manifolds with type 1,1 curvature with the totally complex submanifolds of quaternionic manifolds. Our goal is to investigate the relationship between c-projective symmetries and quaternionic symmetries in this setting. We will show when a symmetry can be lifted to the quaternionic manifold. Moreover, we show that any maximally- or sub-maximally symmetric quaternionic manifold arises from the construction, for some c-projective manifold. In particular, a (sub-)maximally symmetric c-projective manifold can be used to construct a (sub-)maximally symmetric quaternionic manifold. This is a joint work with A. Borowka.

Last Updated on Friday, 21 September 2018 15:28
 
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