University of Cambridge > Talks.cam > Junior Geometry Seminar > Why Condensed Mathematics is Better Than Topology

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Why Condensed Mathematics is Better Than Topology

Download to your calendar using vCal

If you have a question about this talk, please contact Julian Wykowski .

The classic way to study algebra and topology together is through topological groups: groups with a compatible topology. However, topological abelian groups do not have nice categorical properties, nor is there a satisfactory theory of tensor products. Condensed mathematics was developed recently as an attempt to combine algebra and topology in a nicer way. I will explain the problems with classic topology and how condensed mathematics (partially) solves them. As an example, we will see that many condensed notions (Ext, tensor products, group rings…) generalise the corresponding notions for profinite modules, suggesting that the condensed world is a better place to study profinite modules than the topological world.

This talk is part of the Junior Geometry Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Faculty of Law, LG17 Board Room (Faculty of History) and on Zoom Queens Lecture Theatre, Emmanuel College

Other talks

Together Now: Cooperation and Collaboration in Social Art Practice Title to be confirmed Quantifying the unquantifiable? Assessing the importance of almsgiving in early modern France and Spain César Milstein Lecture - Title TBC Haematology and Palliative Care Studying viruses to understand what makes pandemic viruses special and how innate immunity works
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity