If you would like to participate, contact Roy Magen.

We meet 15:05-16:00 in room 528.

- Applications and computations
- On the rational motivic homotopy category
- Homotopy Invariance of Nisnevich Sheaves with Milnor-Witt Transfers
- Split Milnor-Witt Motives and its Applications to Fiber Bundles
- Framed and MW-transfers for homotopy modules
- Milnor-Witt K-theory for finite fields
- Chow-Witt:
- Chow-Witt rings of classifying spaces for symplectic and special linear groups Note proposition 3.3 gives bijection between degree i Chow-Witt group of classifying spaces and degree i characteristic classes, analogous to theorem 1.3 of Totaro's paper
- Chow-Witt rings of Grassmannians

- More reading
- Milnor K-theory of rings, higher Chow groups and applications
- Rost: Chow Groups with Coefficients
- Fasel: Lectures on Chow-Witt groups
- Niels Feld: Milnor-Witt Cycle Modules
- Morel: A1-Algebraic Topology over a Field
- Milnor: Algebraic K-Theory and Quadratic Forms

Talks

Date | Speaker | Topic | Main resource(s) |
---|---|---|---|

February 09 | Roy | Organizational meeting | Chapter 1 |

February 16 | Morena | Milnor-Witt K-theory | Chapter 2 section 1, Milnor-Witt K-theory for finite fields |

February 23 | Morena, Roy | More on Milnor-Witt K-theory | Chapter 2 sections 1,2 |

March 2 | Roy | Homotopy invariance and transfers in Milnor-Witt K-theory | Chapter 2 section 2, Milnor-Witt Cycle Modules , Lectures on Chow-Witt groups |

March 9 | Andres | Chow-Witt groups | Chapter 2 section 3 |