Master's degree in Mathematics

Homological algebra (seminar course)

Course code
4S001439
Name of lecturer
Lidia Angeleri
Coordinator
Lidia Angeleri
Number of ECTS credits allocated
6
Academic sector
MAT/02 - ALGEBRA
Language of instruction
English
Period
I semestre dal Oct 1, 2019 al Jan 31, 2020.

Lesson timetable

Go to lesson schedule

Learning outcomes

This reading course is devoted to some topics in homological algebra and representation theory. Prerequisites: Representation Theory.

Syllabus

This year, the course is devoted to the concept of an infinity category. In the first session, Rosanna Laking will guide us through the video of an introductory lecture by Emily Riehl. Next, we will review the notion of a model category and discuss some motivating examples from algebraic topology. Then we will read some chapters of the book "Higher Categories and Homotopical Algebra" by Denis-Charles Cisinski. Finally, there will be a lecture series delivered by Gustavo Jasso from the University of Bonn.

More details will be available on http://profs.sci.univr.it/~angeleri/Highercats.html

Reference books
Author Title Publisher Year ISBN Note
Allen Hatcher Algebraic Topology Cambridge University Press 2002 0-521-79540-0
Denis-Charles Cisinski Higher Categories and Homotopical Algebra Cambridge University Press 2019
Emily Riehl The model-independent theory of (∞,1)-categories ( lectures at Isaac Newton Institute for Mathematical Sciences; video available on https://www.newton.ac.uk/event/hhhw01/timetable) 2018

Assessment methods and criteria

Students actively participate in the course and deliver a seminar talk.





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