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MATHEMATICS SEMINAR by Nadim Rustom Author: COLLEGE OF SCIENCESTime: 14:30 Location: SCI 103  KOÇ UNIVERSITY MATHEMATICS SEMINAR Speaker : Nadim Rustom Title : p-adic Families of Modular Forms and Applications Date : February 19, 2019, Tuesday Abstract : Starting from classical congruences of Bernoulli numbers, we will motivate and explain the construction of p-adic families of modular forms. The existence of these families has had numerous applications in number theory to the construction of p-adic zeta functions and the p-adic Langlands program.
We will describe the families constructed by Serre, Katz, and Coleman-Mazur. We will illustrate these concepts by examples and give some applications. |
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