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Invitations to Mathematics - Eric Katz

katz.60
November 25, 2020
4:10PM - 5:40PM
Zoom (email anthony.69@osu.edu for link)

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Add to Calendar 2020-11-25 16:10:00 2020-11-25 17:40:00 Invitations to Mathematics - Eric Katz Title: Integration on p-adic curves Speaker: Eric Katz Abstract: The p-adic numbers are a particular completion of the rational numbers that has applications to number theory. Unlike the reals, they do not have a nice topology, but one can still do geometry over them. In this talk, we will discuss a notion of integration, due to Coleman, on algebraic curves over the p-adic numbers and some of its number-theoretic consequences. Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for two credit hours of Math 6193 with Professor Nimish Shah. Zoom (email anthony.69@osu.edu for link) Department of Mathematics math@osu.edu America/New_York public

Title: Integration on p-adic curves

Speaker: Eric Katz

Abstract: The p-adic numbers are a particular completion of the rational numbers that has applications to number theory. Unlike the reals, they do not have a nice topology, but one can still do geometry over them. In this talk, we will discuss a notion of integration, due to Coleman, on algebraic curves over the p-adic numbers and some of its number-theoretic consequences.

Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for two credit hours of Math 6193 with Professor Nimish Shah.

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