Online algebra seminar  16th of September, 1pm 


We will continue online on Thursday, 16th of September, at 13.00 CEST on ZOOM platform and M5 lecture room (for information how to acces seminar and next programme visit this page) by the talk:
Nicholas Meadows
Higher theories and monads
Abstract: We extend Bourke and Garner's idempotent adjunction between monads and pretheories to the framework of $\infty$categories, and exploit this to prove many classical theorems about monads in the $\infty$categorical setting. Amongst other things, we prove that the category of algebras for an accessible monad on a locally presentable $\infty$ category is locally presentable. We also apply the result to construct examples of $\infty$categorical monads from pretheories.

Last Updated on Wednesday, 15 September 2021 15:40 

Record of habilitation lecture from September 15, 2021: Phuoc Tai Nguyen 


Record available HERE.
Semilinear elliptic equations with a singular potential Phuoc Tai Nguyen Wednesday, 15 September, 4 pm, in the M1 Lecture Hall and ONLINE on ZOOM Pavol Quittner Jan Slovak chairmen of the Board Director of the department 
Last Updated on Friday, 17 September 2021 10:14 
Online algebra seminar  19th of August, 1pm 


We will continue online on Thursday, 19th of August, at 13.00 CEST on ZOOM platform (for information how to acces seminar and next programme visit this page) by the talk:
Charles Walker
The nerve of a relative monad
Abstract: In this talk we will consider an embedding of monads into double categories, which sends a monad P to its (concrete) double category of Pembeddings (also called P split monos), as well as generalizations of this embedding the setting of (wellbehaved) relative monads. By considering a more general notion of monad morphism (motivated by the relative setting), we will understand this embedding as a fully faithful nerve which exhibits the terminal monad as 'dense' with respect to these more general morphisms. We will then give two applications of this construction. Firstly, we will give another approach by which one arrives at the “decagon type” axioms of last time, and secondly we will give a simpler proof of the reduced form of pseudodistributive laws involving laxidempotent pseudomonads. Note that some parts are a work in progress.

Last Updated on Monday, 16 August 2021 15:01 
32nd mathematical hike  31st of July 2021 


Dear Friends of Hikes and Mathematics,
Extreme hike! The 32nd mathematical hike is planned on the 31st of July. Meet at 06:00 at the Main Train Station of Brno. We go by train (leaves at 06:12), then approx. 53 km to get back to Brno. This means that there is no train to catch, no time pressure as at the 31st hike. This hike favours shorter options: you can leave at 19 and 36 km mark comfortably. Evaluate your strength and join us.
All information and photos can be found at https://conference.math.muni.cz/vylety/. (in CZ) Have a nice summer, we look forward to you joining us. Jana Bartoňová and Jonatan Kolegar, organizers Jan Slovák, Director of the Department of Mathematics and Statistics 
Last Updated on Friday, 16 July 2021 11:41 
Online algebra seminar  June 24th, 1pm 


We will continue online on Thursday, June 24th, at 13.00 CEST on ZOOM platform (for information how to acces seminar and next programme visit this page) by the talk:
Giulio Lo Monaco
Vopěnka's principle in infinitycategories
Abstract: Vopěnka's principle has arisen as a model theoretical statement, provably independent of ZFC set theory. However, there are a number of categorical ways of formulating it, preventing the existence of proper classes of objects with some conditions in presentable categories, and these are what our attention will be focused on. In particular, we will look at analogous statements in the context of oocategories and we will ask how these new statements interact with the older ones. Moreover, some of the consequences of Vopěnka's principle on classes of subcategories of presentable categories are investigated and to some extent generalized to oocategories. A parallel discussion is undertaken about the similar but weaker statement known as weak Vopěnka's principle. 
Last Updated on Tuesday, 22 June 2021 15:36 

