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Number Theory Seminar

Thursday, May 10, 2018
4:00pm to 5:00pm
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Building 15, Room 104
Arithmetic stability in p-adic towers of global function fields
Daqing Wan, Department of Mathematics, UC Irvine,
Given a global function field K of characteristic p>0, the fundamental arithmetic invariants include the genus, the class number, the p-rank and more generally the slope sequence of the zeta function of K. In this expository lecture, we explore possible stability of these invariants in a p-adic Lie tower of K. Strong stability is expected when the tower comes from algebraic geometry, but this is already sufficiently interesting and difficult in the case of Z_p towers.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].