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2015 NCTS Number Theory Seminar
 
13:30 - 14:30, May 13, 2015 (Wednesday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Special Values of Zeta-functions and Euler Characteristics
Stephen Lichtenbaum (Brown University)

Let X be a regular scheme, projective and flat over Spec Z, let r be a rational integer. We describe a conjecture which gives the value of the zeta function of X at the point s = r in terms of Euler characteristics involving motivic cohomology, Betti cohomology and derived de Rham cohomology. We will explain how this conjecture specializes to known theorems and previous conjectures.


 

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