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Condensed Mathematics
Provider: Faculty of Science

Activity no.: 5555-20-07-31 
Enrollment deadline: 01/11/2020
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time09.11.2020, at: 09:00 - 13.11.2020, at: 16:00
Regular seats39
ECTS credits2.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserLars Hesselholt    E-mail address: trk734@ku.dk
Written languageEnglish
Teaching languageEnglish
Course workload
Course workload categoryHours
Preparation / Self-Study40.00
Course hours25.00
Sum65.00
Aim and content
The course will present the "Condensed Mathematics" currently being developed by Dustin Clausen and Peter Scholze. Scholze, who received a Fields medal in 2018, is one of the most influential mathematicians in the world. Clausen is currently his assistant at Bonn, but will return to Copenhagen as an Associate Professor from August 2020. Scholze became an instant mathematical superstar with his 2011 thesis that introduced "Perfectoid Spaces." To wit, the 2017 Arizona Winter School, which presented this theory to graduate students and young researchers, attracted more than 400 participants. Perfectoid spaces has vastly expanded the reach of geometrical and analytical methods in p-adic geometry. Condensed mathematics holds the promise of accomplishing the same in a broader framework that, in addition to p-adic geometry, includes complex geometry and analysis. Such a unification is entirely new and may well supply the geometrical underpinning to make it possible to attack some of the most important conjectures in mathematics. Scholze is currently covering the theory in his courses at Bonn, but it has yet to be presented to a wider audience. It is a fantastic opportunity to be able to do so in Copenhagen.

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