Fifth year graduate student in mathematics at the University of Utah

## Representation theory reading group

### Spring 2019: Tuesdays at 1pm in LCB loft

January 18 | Adam Brown | Introduction to reductive algebraic groups. |

January 25 | Qixian (Cameron) Zhao | Reductive groups over finite fields. |

February 1 | Jenny Kenkel | The Hecke algebra. |

February 15 | Adam Brown | The Hecke algebra, continued. |

February 26 | -- discussion -- | Principal series representations. |

March 5 | -- discussion -- | Flag varieties. |

- Notes from 2018 WARTHOG summer school, available here

### Fall 2018: Tuesdays at 3:10pm in JWB 108.

September 11/td> | Adam Brown | Introduction. |

September 18 | Qixian (Cameron) Zhao | Linear algebra background. Representations of finite groups. |

September 25 | Qixian (Cameron) Zhao | Linear algebra background, continued. |

October 2 | Sam Swain | Decomposition of representations of finite groups into direct sums of irreducibles, character theory. |

October 16 | Faith Pearson | Representations of the symmetric group. |

October 30 | Sabine Lang | Double centralizer theorem and examples. |

November 6 | Chengyu Du | Proof of Schur-Weyl duality. |

November 13 | Jenny Kenkel | Determinantal rings and applications to commutative algebra. |

November 20 | Peter McDonald | Geometric picture: Springer correspondence. |

November 27 | Adam Brown | Physics II for computer sciences students |

- The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric functions, by Bruce E. Sagan
- Young Tableaux, by William Fulton
- Representation theory, by William Fulton and Joe Harris
- Abstract algebra, by David S. Dummit and Richard Foote
- Lecture notes by Pavel Etingof, available here