Juvitop Seminar on Algebraic K-Theory

Fall 2015, Wednesdays 4:30-5:30 pm, E17-139, MIT

Schedule of Talks

• 16/09/2015. Talk 1: Emanuele Dotto - An Overview of Trace Methods
  Notes (by Eva Belmont)

• 23/09/2015. Talk 2: Eric Peterson - Spectra and G-Spectra
  Slides (by Eric Peterson)

• 30/09/2015. Talk 3: Jun-Hou Fung - The Basics of Algebraic K-Theory
  Notes (by Jun-Hou Fung)

• 07/10/2015. Talk 4: Adam Al-Natsheh - The K-theory of Finite Fields
  Notes (by Adam Al-Natsheh)

• 14/10/2015. Talk 5: Jay Shah - The Axiomatic Approach
  Notes (by Eva Belmont)

• 21/10/2015. Talk 6: Yihang Zhu - K-theory and Special Values of L-Functions: Beilinson Conjectures
  Notes (by Yihang Zhu)

• 28/10/2015. Talk 7: Adam Al-Natsheh - Cyclic Homology and the Trace
  Notes (by Eva Belmont)

• 04/11/2015. Talk 8: Akhil Mathew- Goodwillie's Rational Pullback Square
  Notes (by Eva Belmont)

• 11/11/2015. Talk 9: Hood Chatham- D₁(trace) and the Trace Pullback Square

• 18/11/2015. Talk 10: Jeremy Hahn- The Theorem of Goodwillie/Dundas-McCarthy

• 18/11/2015. Talk 11: Andy Sanger- On the Algebraic K-Theory of Topological K-Theory




References

Talk 3:
"Higher algebraic K-theory: I", D. Quillen
"The K-book, Chapter 5", C. Weibel

Talk 4:
"On the Cohomology and K-Theory of the General Linear Groups Over a Finite Field", D. Quillen S. Mitchell
"Notes on the K-Theory of Finite Fields" S. Mitchell

Talk 5:
"On the Algebraic K-Theory of Higher Categories", C. Barwick
"A universal characterization of higher algebraic K-theory", A. Blumberg, D. Gepner, G. Tabuada

Talk 7+8:
"Relative Algebraic K-Theory and Cyclic Homology", T. Goodwillie

Talk 9+10:
"The Local Structure of Algebraic K-Theory", B. Dundas, T. Goodwillie, R. McCarthy

Talk 11:
"On the Algebraic K-Theory of Topological K-Theory", C. Ausoni and J. Rognes





This seminar is organised by Lukas Brantner.
If you have any questions, suggestions, criticism or corrections, please send an email to brantner@math.harvard.edu.