Arithmetic Cohomology and Special Values of Zeta-Functions (after Geisser)

MOTIVIC COHOMOLOGY
Topic:Arithmetic Cohomology and Special Values of Zeta-Functions (after Geisser)
Speaker:Stephen Lichtenbaum
Affiliation:Brown University
Date:Thursday, February 22
Time/Room:11:00am - 12:00pm/S-101

Geisser gives conjectured formulas for special values of zeta-functions of varieties over finite fields in terms of Euler characteristics of arithmetic cohomology (an improved version of Weil-etale cohomology). He then proves these formulas under the assumptions that a number of well-regarded conjectures are true.