To volunteer to give a talk, or for anything else regarding the seminar, contact Claudiu Raicu.

Abstracts can be found below. The seminar will meet on Wednesdays, 3:00–4:00pm in 258 Hurley ** unless otherwise noted.** Related events are also listed below.

Date | Speaker | Title |
---|---|---|

Wednesday, Aug. 30 | Liubomir Chiriac (University of Massachusetts Amherst) | Distribution of the Fourier coefficients in pairs of newforms |

Wednesday, Sep. 6 | Daniele Rosso (Indiana University Northwest) | Irreducible components of exotic Springer fibers |

Wednesday, Sep. 13 | ||

Wednesday, Sep. 20 | ||

Wednesday, Sep. 27 | ||

Wednesday, Oct. 4 | Michael Wibmer (University of Pennsylvania) | Free differential Galois groups |

Wednesday, Oct. 11, 4-5pm 129 Hayes-Healy Hall Department Colloquium |
Anurag Singh (University of Utah) | TBA |

Thursday, Oct. 12, 2:30-3:30pm |
Anurag Singh (University of Utah) | TBA |

Wednesday, Oct. 18 | No seminar (Fall break) | — |

Wednesday, Oct. 25 | ||

Wednesday, Nov. 1 | ||

Wednesday, Nov. 8 | ||

Wednesday, Nov. 15 | ||

Wednesday, Nov. 22 | No seminar (Thanksgiving) | — |

Wednesday, Nov. 29 | ||

Wednesday, Dec. 6 |

**Speaker**- Liubomir Chiriac (University of Massachusetts Amherst)
**Title**- Distribution of the Fourier coefficients in pairs of newforms
**Abstract**- Given two distinct newforms, I will present several statistical results concerning the joint distribution of their Fourier coefficients, with special emphasis on questions about dominance. The talk will touch upon refined multiplicity one problems in a few different contexts, as well as some applications of a natural generalization of the Sato-Tate conjecture for pairs of newforms.

**Speaker**- Daniele Rosso (Indiana University Northwest)
**Title**- Irreducible components of exotic Springer fibers
**Abstract**- The Springer resolution is a resolution of singularities of the variety of nilpotent elements in a reductive Lie algebra. It is an important geometric construction in representation theory, but some of its features are not as nice if we are working in Type C (Symplectic group). To make the symplectic case look more like the Type A case, Kato introduced the exotic nilpotent cone and its resolution, whose fibers are called the exotic Springer fibers. We give a combinatorial description of the irreducible components of these fibers in terms of standard Young bitableaux and obtain an exotic Robinson-Schensted correspondence. This is joint work with Vinoth Nandakumar and Neil Saunders.

Math Department - University of Notre Dame