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Algebra seminar - May 9, 1pm, lecture room M5 PDF Print

We will continue on Thursday, May 9, in M5 at 1pm by the talk

E. Lanari

Simplicial models for (oo,2)-categories

Abstract:
This talk will revolve around two simplicial models for(oo,2)-categories, namely Lurie's oo-bicategories and Verity's complicial model. After a brief overview and some preliminaries on the category of scaled and stratified simplicial sets, we will delve right into the construction of a model structure for "weak" oo-bicategories, which we prove to be equivalent to the one for saturated 2-trivial complicial sets (i.e. the complicial version of (oo,2)-categories). We then describe Lurie's model structure for oo-bicategories and a Quillen equivalence with another model, i.e. that of categories enriched over marked simplicial sets, which shows oo-bicategories are a model for (oo,2)-categories in the sense of Barwick-Schommer Pries. We conclude the talk with a conjecture on the equivalence between our model structure and Lurie's one, and its corollaries.

Last Updated on Monday, 06 May 2019 10:14
 
Differential equations seminar - April 29, 12pm, lecture room M5 PDF Print

Seminar of differential equations will continue on April 29, 2019 at 12pm in lecture room M5.

Debangana Mukherjee, Ph.D. (Department of Mathematics and Statistics, MU)

Multiplicity results and sign changing solutions of non-local equations with concave-convex nonlinearities

Last Updated on Wednesday, 24 April 2019 10:51
 
22nd mathematical hike - April 27th 2019 PDF Print

Dear Friends of Hikes and Mathematics,

You are cordially invited to the 22nd mathematical hike. It will take place on April 27th.

Start at 08:31 at the train stop Hradčany (near Tišnov).

We plan a nice april hike no matter the weather. It's about 19.2 km long. We will go south following a blue path to Veverská Bítýška (you can end the hike there (it is 8 km), if you prefer so), then continue through the hill Trnůvka to Bystrc (probably to tram stop Přístaviště).

Looking forward to seeing you there,

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

Last Updated on Tuesday, 23 April 2019 07:04
 
Applied mathematics seminar - April 23, 2pm, lecture room M5 PDF Print

Seminar of applied mathematics will continue on April 23, 2pm in lecture room M5.

Mgr. Mojmír Vinkler

Improving volumetric measurements by magnetic resonance denoising

Last Updated on Wednesday, 17 April 2019 08:44
 
Algebra seminar - April 18, 1pm, lecture room M5 PDF Print

We will continue on Thursday, April 18, in M5 at 1pm by the talk

L. Positselski

Agreeable and topologically agreeable abelian categoreies

Abstract:
In the category of modules over an associative ring, there is a notion of a summable family of morphisms between a given pair of objects. The sum of such an (infinite) family of morphisms is well-defined.
In fact, there is a natural topology on the group of morphisms between two modules, and the summable families are simply the families of morphisms converging to zero in this topology. Generalizing to additive categories, one comes to the definition of an agreeable additive category, which was suggested in a 1973 unpublished manuscript of A.L.S. Corner, and to a more narrow class of topologically agreeable categories.
All Grothendieck abelian categories are agreeable, and all nearly finitely presentable Grothendieck categories are topologically agreeable; but nondiscrete spectral Grothendieck abelian categories are not topologically agreeable.

Last Updated on Monday, 15 April 2019 11:06
 
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