584

Date | Feb 28, 2024 |
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Speaker | 정근영 |

Dept. | 전남대 |

Room | 선택 |

Time | 16:00-17:30 |

We introduce the nonvanishing results on some Hecke L-functions. In the first talk, we recall basic definitions including the Hecke character, its L-function, and global/local root number. Also, some well-known theories related to our motivation including the Birch—Swinnerton-Dyer conjecture, and complex multiplication theory will be mentioned.

In the second talk, we review Yang’s result which interprets the special L-values of the Hecke L-function via theta lifting. After that, we give some local computations, which allow us to give a nonvanishing of L-functions of some hyperelliptic curves and Fermat curves. This talk is based on the papers collaborated with Junyeong Park, Yeong-Wook Kwon, and Donggeon Yhee.

**Join Zoom Meeting**

https://snu-ac-kr.zoom.us/j/6654247590?pwd=UjdrTEhKdkhrZE9ieDEvdm1VaHNvdz09&omn=94764380482

Meeting ID: 665 424 7590

Passcode: dynamics

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