[Turkmath:6099] FGC-IPM-HRI number theory seminars::Rahul Gupta[May 3, 17:00]

[Özlem Ejder]

Merhaba,

Öncelikle 1 Mayıs emek ve dayanisma bayramınız kutlu olsun. Umarim bir gun
hep birlikte meydanlarda da bulusuruz, el ele kol kola yürürüz.

Asagida seminar detaylarını bulabilirsiniz.

-----------------------
Rahul Gupta () is our speaker in the FGC-HRI-IPM (online) Number Theory Seminar
this week.
*Date and Time: *Wednesday, May 3, 17:00.

*Title:* Tame Class Field Theory
*Abstract:* As a part of global class field theory, we construct a
reciprocity map that describes the unramified (resp. tame) étale
fundamental group as a pro-completion of a suitable idele class group
(resp. tame idele class group) for smooth curves over finite fields. These
results were extended to higher-dimensional smooth varieties over finite
fields by Kato-Saito (unramified case, in 1986) and Schmidt-Spiess (tame
case, in 2000). We begin the talk by recalling these results.

The main focus of the talk is to work with smooth varieties over local
fields. The class field theory over local fields is not as nice as that
over finite fields. We discuss results in the unramified class field theory
over local fields achieved in the period 1981--2015 by various
mathematicians (Bloch, Saito, Jennsen, Forre, etc.). We then move to the
main topic of the talk which is the tame class field theory over local
fields and prove that the results in the tame case are similar to that in
the case of unramified class field theory.

This talk will be based on a joint work with A. Krishna and J. Rathore.

*Zoom Meeting ID: *856 1386 0958
*Passcode: *513992

Sevgiler,Özlem
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