Iterated p-adic integrals and rational points on curves
Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017
Location: MSRI: Simons Auditorium
Galois theory
Galois orbits
Periods
Falting's theorem
elliptic curves
Chabauty program
rational points
algebraic curves
Coleman integrals
polylogarithms
11Rxx - Algebraic number theory: global fields {For complex multiplication, see 11G15}
14C30 - Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture
11F33 - Congruences for modular and $p$-adic modular forms [See also 14G20, 22E50]
Balakrishnan
I will discuss some new relationships between iterated p-adic line integrals (Coleman integrals), motivated by the problem of explicitly finding rational points on curves. This is joint work with Netan Dogra
Balakrishnan
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