Algebraic K-theory

Fall 2019

September 3

Minicourse: Part 1 (Tim Campion)

Notes Exercises Reduction by Resolution

September 10

Minicourse: Part 2 (Tim Campion)

Notes Exercises

September 17

Minicourse: Part 3 (Tim Campion)

Notes Exercises

September 24

Minicourse: Part 4 (Tim Campion)

Notes Exercises

October 1

Suslin rigidity theorem (Nikolai Konovalov)

Notes Exercises

October 8

Quillen's K-theory of Finite Fields (Sarah Petersen)

Notes Exercises

October 15

Wall finiteness (Matt Scalamandre)

Notes Exercises

October 29

Universal Property of K-theory (Bridget Schreiner)

Notes Exercises

November 5

SK-invariants and algebraic K-theory (Laura Murray)

Notes Exercises

November 12

The K-theory of a symmetric monoidal category is an infinite loop space (Hari Rau-Murthy)

Notes Exercises

November 19

Hopf Invariant One (Connor Malin)

Notes Exercises

December 3

The Grothendieck–Riemann–Roch theorem (Eric Jovinelly)

Notes Exercises

December 10

Motivic Homotopy Theory (Guoqi Yan)

Notes Exercises