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MathematischeGesellschaft
On special values of automorphic L-functions
25.1.2018, 16:15 - 17:15
Speaker:Dr. Jie Lin, CNRS Paris
Location:Mathematisches Institut, Bunsenstr 3-5Sitzungszimmer, Bunsenstr. 3-5Gras Geo Map
Organizer:Mathematisches Institut
Details:
Abstract: It is well-known that the value of the Riemann zĂȘta function at a positive even integer is a power of 2\pi i multiplied by a rational number. More generally, Deligne conjectured that certain special values of motivic L-functions can be written as products of motivic periods and precise powers of 2\pi i. Similar results have been proved for automorphic L-functions up to some extra archimedean factors.
It seems very difficult to calculate these factors directly. In this talk, we will explain a simple method to determine these archimedean factors as precise powers of 2\pi i. This is a joint work with Harald Grobner.
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Type:Colloquium
Language:English
Category:Research
Host:C. Schoemann
Contact:Monika Wiesner39-10326Monika.Wiesner@mathematik.uni-goettingen.de
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