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 Online differential geometry seminar - Dec 13, 10am

The seminar on differential geometry will continue with this lecture:

Dec 13, 10amonline on MS Teams and the M5 lecture room

#### Tianyu Ma (University of Jena):

Random geodesic walks and Brownian motions on Finsler manifolds

Abstract:

We show that geodesic random walks on a complete Finsler manifold of bounded geometry converge to a diffusion process which is, up to a drift, the Brownian motion corresponding to a Riemannian metric.

Last Updated on Tuesday, 07 December 2021 09:15

 34th mathematical hike - 11th of December 2021
 Dear Friends of Hikes and Mathematics,The 34th mathematical hike is planned on the 11th of December. Start at 9:33 at the "Kamenolom" stop. (49.2218894N, 16.5368919E). The hike is about 15 km long, we will go through the "Podkomorský" forest to the dam. We invite you also to the traditional mathematical carol-singing. (lyrics in czech, though)Consider your attendance accordingly with the covid situation. The government does not restrict organizing hikes. All information and photos can be found at https://conference.math.muni.cz/vylety/. (in CZ) Looking forward to see you. Jana Bartoňová and Jonatan Kolegar, organizersJan Slovák, Director of the Department of Mathematics and Statistics Last Updated on Monday, 06 December 2021 11:13

 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:

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 P-embeddings (also called P split monos), as well as generalizations of this embedding the setting of (well-behaved) 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 pseudo-distributive laws involving lax-idempotent pseudomonads. Note that some parts are a work in progress.

Last Updated on Monday, 16 August 2021 15:01

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