[Alta-Logic] Peripatetic Seminar: Special Tomorrow Edition

[Geoff Vooys]

Hi Everybody,

There is a special edition of the peripatetic seminar tomorrow at 13:00 Mountain Time in ICT 616. Priyaa will tell us all about Drazin inverses in categories. She has also asked me to tell you all that there will be cool pictures, so I hope to see you all there! An abstract and title follow the body of this email.

Cheers,
Geoff

Title: Drazin Inverses in Categories<https://meetings.ams.org/math/jmm2025/meetingapp.cgi/Paper/43374>
Speaker: Priyaa Srinivasan (Tallinn University of Technology)
Abstract: In this talk, I will introduce Drazin inverses from a categorical perspective. Drazin inverses are a fundamental algebraic structure which have been extensively deployed in semigroup theory and ring theory. Drazin inverses can also be defined for endomorphisms in any category. In this talk, I will introduce Drazin categories, in which every endomorphism has a Drazin inverse, and provide various examples including the category of matrices over a field, and explore various properties of these inverses.
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