Algebra seminar  February 21, 1pm, lecture room M5 


We will start our seminar on Thursday, January 24, in M5 at 1pm.
Harry Gindi
CartesianEnriched Quasicategories, the Isofibration theorem and Yoneda's lemma
Abstract: In Joyal's theory of quasicategories, there is a very nice characterization of the fibrant objects and the fibrations between them as the innerfibrant objects and isomorphismlifting inner fibrations respectively. Given a niceenough Reedy category C, we construct a horizontal model structure on the category of presheaves of sets on Θ[C] that shares a variant of this characterization. Moreover, given a Cartesian presentation with respect to simplicial presheaves on C, we show that the horizontal model structure Psh(Θ[C]) admits a leftBousfield localization that agrees with Rezk's model structure on sPsh(Θ[C]). It will follow by general facts about leftBousfield localization that the model fibrations between the local objects are exactly the horizontal isofibrations. We will also briefly describe the generalization of the homotopycoherent nerve and realization for these enriched Quasicategories and sketch a proof of Yoneda's lemma in this setting, if time permits. 
Last Updated on Monday, 11 February 2019 16:05 
Call for postdoc positions 


Call for research positions at the Department of Mathematics and Statistics, Masaryk University
The Department of Mathematics and Statistics at Masaryk University invites applications for several research positions commencing during the year 2019 at the date depending on mutual agreement. The positions are initially for one year with a possibility of extension.
Applications will be considered in all areas of Mathematics and Statistics, with special focus on
 analysis of nonlinear PDEs
 differential geometry and geometric analysis
 numerical mathematics and computational statistics
The candidates must be recent PhD's and should submit a letter of application accompanied by a CV, list of publications and an outline of their research project to Martin Kolář (
This email address is being protected from spambots. You need JavaScript enabled to view it
) not later than January 31, 2019.
They should also arrange for at least 2 letters of recommendation (one can be from a Czech mathematician) to be mailed directly to
This email address is being protected from spambots. You need JavaScript enabled to view it
before January 31, 2019.
The successful applicants will be notified as soon as possible but not later than March 30, 2019.

Last Updated on Thursday, 03 January 2019 15:55 
Access to Overleaf  web editor of LaTeX documents 


Overleaf is a web service from the company Digital Science & Research Ltd. , through which users can create impressive documents in the system Latex .
The Faculty of Informatics purchased the users of all faculties of Masaryk University and selected other departments (ÚVT, CEITEC) by July 2019 For a license . With the license, an unlimited number of users can collaborate on one document, users can track changes in documents, return to historical versions of the document, and use service links Mendeley , GitHub and Dropbox . 
CALL FOR PHD FELLOWSHIPS 


CALL FOR PHD FELLOWSHIPS AT THE DEPARTMENT OF MATHEMATICS AND STATISTICS, MASARYK UNIVERSITY
The Department of Mathematics and Statistics at Masaryk University invites applications for fellowships for PhD studies, at the date depending on mutual agreement.
The main research areas of the department are:
 Category theory
 Number theory
 Ordered sets
 Semigroup theory
 Geometric complex analysis
 Lie theory and geometric theory differential equations
 Algebraic and geometric structrues of Mathematical Physics
 Geometric aspects of algebraic topology
 Nonlinear differential and difference equations
 Limit periodic and almost periodic systems
 Hamiltonian and symplectic systems
 Calculus of variations and optimal control
 Matematical modelling
 Statistics and data analysis
More details concerning the research areas can be found at
http://www.math.muni.cz/english/scienceandresearch/researchandeducationalactivities.html
The fellowships in the amount of 19 000 CZK per month are initially for two semesters with a possibility of extension, conditional on the student's performance. The candidates must hold a Master degree (before starting the PhD studies), or equivalent. They should submit a letter of application accompanied by a CV including their study history and a motivation letter to Martin Kolář (
This email address is being protected from spambots. You need JavaScript enabled to view it
) .
They should also arrange for at least 2 letters of recommendation to be mailed directly to
This email address is being protected from spambots. You need JavaScript enabled to view it
.
The applications will be assessed continuously. The successful applicants will be notified as soon as possible, but not later than 60 days after the submission. 
Last Updated on Monday, 17 December 2018 09:20 

