The broad goal of IMSc's Enriching Collegiate Education series of workshops is to bring research mathematicians and college teachers together in an effort to enrich mathematics education in colleges. It is noteworthy in this context that IMSc is primarily a research institute. This workshop is part of a Teacher's Enrichment Workshop, a series sponsored by the NCM
This week-long workshop is aimed at mathematics teachers in Arts & Science colleges, to enable them to revisit and update content and/or knowledge. The lectures will cover a few specific topics (see below). The workshop also includes discussion sessions where teachers can get doubts cleared and work out exercises (both routine and advanced).
Algebra, Analysis and Topology of p-adic numbers
Reference book: p-adic analysis compared with real by S. Katok.
A detailed timetable is available here
Speakers and Syllabus:
Sanoli Gun: The p-adic expansion of rational numbers, Metrics and norms on the rational numbers: Ostrowski's Theorem, Elementary analysis in ℚp: Sequences and series, Properties of p-adic exponential and logarithm, continuous and uniformly continuous functions.
Anirban Mukhopadhyay: Construction of the completion of a normed field, Algebraic properties of p-adic integers, Euclidean models of ℤp , Locally constant functions.
D. S. Nagaraj: Normed fields, Arithmetical operations in ℚp, Hensel's lemma and congruences, Cantor sets, Elementary analysis in ℚp: p-adic power series.
P. Sankaran: Arithmetic of the p-adic numbers, The field of p-adic numbers ℚp, Elementary topological properties, Elementary analysis in ℚp: Sequences and series, Zeros of p-adic power series.
How to apply?
The first list of selected candidates is available here.
If you have been selected, please confirm your participation by emailing email@example.com with your SID and name.
If we do not hear from you, we will provide your seat to applicants on our waiting list.
Lunch (and tea, coffee, snacks) will be provided on all days of the workshop to all selected participants free of cost. Certificates of participation will be issued.
This workshop is intended primarily for teachers from local colleges.
Travel and accommodation arrangements are left entirely to the participants. IMSc is unable to provide any assistance towards travel or accomodation.
Teachers in areas outside Chennai interested in the TEW series of workshops are advised to look for a workshop closer to them: TEW workshops 2018.
Teachers not in Arts & Science colleges (e.g., Engineering colleges) may apply but preference in selection will be given to teachers from Arts & Science colleges.
Links to upcoming and past outreach events (including videos, slides and notes) may be found here.For any other queries, email us: firstname.lastname@example.org