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Higher representation theory
Provider: Faculty of Science

Activity no.: 5566-23-07-31
Enrollment deadline: 27/02/2023
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time06.03.2023, at: 09:00 - 17.03.2023, at: 16:00
Regular seats50
ECTS credits2.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserJesper Grodal    E-mail address: jg@math.ku.dk
Teaching languageEnglish
Exam requirementsStudents will pass the course by taking part in the lectures and exercise sessions, and solving selected problems given posed during the exercise class.
Grading scalePassed / Not passed
Course workload
Course workload categoryHours
Lectures15.00
Exercises10.00
Evaluation4.00
Preparation / Self-Study40.00
Sum69.00
Content
This week-long masterclass, which will be held at the University of Copenhagen Department of Mathematical Sciences on 6-17 March 2023, will explore the notion of representation theory in the setting of higher algebra which is seeing a flurry of interesting developments in recent years. The overall goal is to share currently active strands of research and methods as well as to provide a platform narrating important programs and conjectures as an invitation to further work in this field.

There will be a main lecture series on recent advances in equivariant descent of algebraic K-theory by the guest lecturer, culminating in a discussion of the main results of the recent paper, Descent and Vanishing in Chromatic Algebraic K-theory via Group Actions, of Clausen-Mathew-Naumann-Noel. This series will be supplemented with a complementary lecture series on classical conjectures in derived representation theory, for which the methods outlined in the main lecture may prove fruitful. Moreover, there will be exercise sessions run by one of the invited researchers providing a space to help participants work out instructive examples to understand the materials of the lectures better. On the final day, there will be a problem session where we collect open problems and lines of investigations from participants which could potentially set the tone for future work.

Learning outcome
At the end of the course the student is expected to master central skills within higher representation theory, in the form of the main results in the paper "Descent and Vanishing in Chromatic Algebraic K-theory via Group Actions", of Clausen-Mathew-Naumann-Noel.

Literature
The paper Descent and Vanishing in Chromatic Algebraic K-theory via Group Actions", of Clausen-Mathew-Naumann-Noel as well as other paper posted during the workshop.

Teaching and learning methods
Lectures by invited speakers, supplemented b exercise sessions.

Lecturers
Associate Professor Akhil Mathew, University of Chicago, USA
Associate Professor David Treumann, Boston College, USA

Remarks
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