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Real analogue of the arithmetic K-theory

August 18, 2023 at 14:3015:30 CEST

Bo Liu (East China Normal University)

Differential K-theory is a new research field in the 21st century which is motivated by the study of superstring theory in theoretical physics. It is the differential extension of the topological K-theory and can be regarded as the real analogue of the arithmetic
K-theory in Arakelov geometry, which is the arithmetic extension of the K-theory introduced by Grothendieck. In this talk, we will discuss the properties of differential K-theory by comparing them with corresponding properties of arithmetic K-theory and use them to derive some new geometric results. In particular, we will obtain the localization
formulas for eta invariants and eta forms from the localizations in differential K-theory.

https://tu-darmstadt.zoom-x.de/j/67833963376?pwd=eHVYZDZaRFBUdFZMZjM5K1RnYXRSQT09

Meeting ID: 678 3396 3376
Passcode: 222561

Details

Date:
August 18, 2023
Time:
14:30 – 15:30 CEST

Organizer

Yingkun Li

Venue

Darmstadt, Room 401 and Zoom
Schlossgartenstraße 7
Darmstadt, 64289 Germany
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