Proper base change for zero cycles

Topology of Algebraic Varieties
Topic:Proper base change for zero cycles
Speaker:Moritz Kerz
Affiliation:University of Regensburg; Member, School of Mathematics
Date:Tuesday, February 17
Time/Room:2:00pm - 3:00pm/S-101
Video Link:http://video.ias.edu/tav/2015/0217-MoritzKerz

We study the restriction map to the closed fiber for the Chow group of zero-cycles over a complete discrete valuation ring. It turns out that, for proper families of varieties and for certain finite coefficients, the restriction map is an isomorphism. One can also ask whether for other motivic cohomology groups with finite coefficients one gets a restriction isomorphism.