Number Theory Seminar HS 2020

Unless otherwise stated, all talks start at 14.15 and take place in Seminarraum 05.002, Spiegelgasse 5,

Information for speakers

30.01.2020Francesco Campagna (University of Copenhagen)Primes dividing singular moduliA remarkable property of singular invariants of CM elliptic curves (singular moduli) is that they are always algebraic integers. Hence it makes sense to ask whether, for a fixed set of rational primes S, there exist singular moduli that are S-units. When the set S is empty, Yu. Bilu, P. Habegger and L. Kühne have given a negative answer to the question, proving that singular units do not exist. In this talk we show how the same result holds for the infinite set S of primes congruent to 1 modulo 3 and discuss the more general problem of understanding the prime factorization of singular moduli.
20.02.2020Richard Griffon (Universität Basel)
02.04.2020Matthew De Courcy-Ireland (Ecole Polytechnique Fédérale de Lausanne)
16.04.2020Artūras Dubickas