AIS - Advanced commutative algebra (2019)

Venue: IIT, Kharagpur

Dates: 2 Dec 2019 to 14 Dec 2019


  Convener(s)
Name: Prof. Mousumi Mandal
Prof. Ramakrishna Nanduri Prof Manoj Kummini      
Mailing Address:

Department of Mathematics
IIT Kharagpur
West Bengal-721302

Department of Mathematics
IIT Kharagpur
West Bengal-721302
Chennai Mathematical Institute
Email: mousumi at maths.iitkgp.ac.in nanduri at maths.iitkgp.ac.in mkummini at cmi.ac.in

 This school covers topics in an advanced course in commutative algebra. Topics to be discussed include: flatness, criterion for flatness, fibres of flat maps, generic flatness theorem; Kahler differentials, fundamental exact sequences; completion; smoothness; jacobian criterion; Cohen structure theorem (equicharacteristic case); excellent rings; Lichtenbaum-Schlessinger functors. The prerequisite for this school is a course in introductory commutative algebra (associated primes and primary decomposition; integral extensions; dimension theory of noetherian local rings).

Please Note:  Participants have to arrange for their own travel.