AIS School on p-adic Methods in Arithmetic

The Department of Mathematics of SRM University-AP, in collaboration with the National Centre for Mathematics, is organising an AIS school on p-adic methods in Arithmetic from June 26 to July 15 at the university. Prof. C S Rajan of Ashoka University and Assistant Professors Dr Manish Kumar Pandey and Dr Sazzad Ali Biswas of the Department of Mathematics at SRM University-AP are the convenors of the three-week long programme.

The prime focus of the AIS being held at the campus is to study the p-adic numbers and the p-adic methods in arithmetic. Topics covered in the first ten days include absolutes values on fields, completeness, construction of the field Q_p of p-adic numbers, p-adic algebraic number theory, and the Local-Global Principle. There are also topics from the basic Algebraic Number Theory (e.g., Class groups, Local Fields, Number Fields, Cyclotomic fields etc.). In the last eight days of the programme, the construction of the p-adic zeta function, Modular Forms, Iwasawa’s construction of P-adic L-functions and the main conjecture of Iwasawa Theory, applications of p-adic numbers, and open problems will be discussed.

National Centre for Mathematics is a joint centre of IIT Bombay and TIFR, Mumbai. The purpose of AIS schools is to provide training in core subjects in Mathematics to PhD students, young researchers, and teachers. The emphasis in these schools is on learning mathematics by doing it. IIT Bombay and TIFR jointly established the National Centre for Mathematics (NCM) in 2011. The instructional schools and workshops planned by an NBHM committee on ATM Schools are now being organised under the supervision of the Apex Committee of the NCM. The objective is to organise quality schools that help researchers and teachers and enjoyably learn advanced mathematics.

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