Forschungsseminar Geometrie und Topologie
Summer Term 2020
Prof. Dr. Holger Reich - Prof. Dr. Elmar Vogt - Dr. Gabriel Angelini-Knoll
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Time and place: Tuesday, 16 - 18h, SR 140, Arnimallee 7 (HH)
please NOTE: for the online presentations the usual time is
Wednesday, 14 - 16h.
This semester all presentations are online.
Content: Talks by masters and Phd students about ongoing work and selected research topics as well as guest talks.
This summer term our selected research topic will cover the field of
Algebraic K-theory of pullbacks
starting on April 8th.
Schedule
Date | Ttitle | Speaker |
---|---|---|
30.03. | Assembly maps for algebraic K-theory and topological cyclic homology I | Holger Reich |
01.04. | Assembly maps for algebraic K-theory and topological cyclic homology II | Holger Reich |
08.04. | Algebra of higher categories | Gabriel Angelini-Knoll |
15.04. | Exact sequences and algebraic K-theory of higher categories | Georg Lehner |
17.04. | Morava K-theory of algebraic K-theory and topological cyclic homology | Gabriel Angelini-Knoll |
29.04. | Excision in algebraic K-theory revisited | Georg Lehner |
06.05. | Symmetric monoidal higher categories, higher operads, and algebra objects | Vincent Boelens |
13.05. | The infinity operads Ek | Vincent Boelens |
20.05. | The Shipley-Schwede recognition theorem | Vincent Boelens |
27.05. | The proof of the main theorem | Holger Reich |
03.06. | Immediate consequences of the main theorem | Gabriel Angelini-Knoll |
Monday 15.06. | Applications to K-theory -- Part 1: Excision results in algebraic K-Theory |
Daniel Krupa |
17.06. | Applications to K-theory -- Part 2: Torsion in birelative and relative K-groups |
Alex Müller |
24.06. | Applications to K-theory -- Part 3: Pro-excision results |
Gabriel Angelini-Knoll |
01.07. | Applications to truncating invariants | Georg Lehner |
08.07. | cdh-desent for truncating invariants: part 1 | Vincent Boelens |
15.07. | cdh-desent for truncating invariants: part 2 | Vincent Boelens |
22.07. | cdh-desent for truncating invariants: part 3 | Vincent Boelens |
Literature
- Blumberg-Gepner-Tabuada: "A Universal characterization of higher algebraic K-theory
- Tamme: "Excision in algebraic K-theory revisited"
- Land-Tamme: "On the K-theory of pullbacks"