# NTS/Abstracts/Fall2010: Difference between revisions

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{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | {| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | ||

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| bgcolor="#DDDDDD" align="center"| Title | | bgcolor="#DDDDDD" align="center"| Title: From automorphic forms to Kloosterman sheaves (joint work with J.Heinloth and B-C.Ngo) | ||

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| bgcolor="#DDDDDD"| | | bgcolor="#DDDDDD"| | ||

Abstract. | Abstract: Classical Kloosterman sheaves are rank n local systems on | ||

the punctured line (over a finite field) which incarnate Kloosterman | |||

sums in a geometric way. The arithmetic properties of the Kloosterman | |||

sums (such as estimate of absolute values and distribution of angles) | |||

can be deduced from geometric properties of these sheaves. In this | |||

talk, we will construct generalized Kloosterman local systems with an | |||

arbitrary reductive structure group using the geometric Langlands | |||

correspondence. They provide new examples of exponential sums with | |||

nice arithmetic properties. In particular, we will see exponential | |||

sums whose equidistribution laws are controlled by exceptional groups | |||

E_7,E_8,F_4 and G_2. | |||

|} | |} | ||

</center> | </center> |

## Revision as of 16:33, 3 September 2010

## Shuichiro Takeda, Purdue

Title |

Abstract. |

## Xinyi Yuan

Title |

Abstract. |

## Jared Weinstein, IAS

Title: Semistable reduction of modular curves |

Abstract. |

## David Zywna, U Penn

Title |

Abstract. |

## Soroosh Yazdani, UBC and SFU

Title |

Abstract. |

## Zhiwei Yun, MIT

Title: From automorphic forms to Kloosterman sheaves (joint work with J.Heinloth and B-C.Ngo) |

Abstract: Classical Kloosterman sheaves are rank n local systems on the punctured line (over a finite field) which incarnate Kloosterman sums in a geometric way. The arithmetic properties of the Kloosterman sums (such as estimate of absolute values and distribution of angles) can be deduced from geometric properties of these sheaves. In this talk, we will construct generalized Kloosterman local systems with an arbitrary reductive structure group using the geometric Langlands correspondence. They provide new examples of exponential sums with nice arithmetic properties. In particular, we will see exponential sums whose equidistribution laws are controlled by exceptional groups E_7,E_8,F_4 and G_2. |

## Samit Dasgupta, UC Santa Cruz

Title |

Abstract. |

## Jay Pottharst, Boston University

Title: Iwasawa theory at nonordinary primes |

Abstract. |

## Toby Gee, Northwestern

Title |

Abstract. |

## Organizer contact information

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