AIS - Advanced commutative algebra (2019)

Speakers and Syllabus


 

Syllabus: (Each speaker is required to deliver minimum 6 lectures).

 

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof Mrinal Das

ISI Kolkata

6

Flatness, going down theorem, local criteron for flatness,fibres of flat maps,, generic flatness theorem

Prof Sarang Sane

IIT-Madras

6

Derivations, Module of Kahler differentials, fundamental exact sequences, relation to conormal modules, completions and complete rings

Prof Suresh Nayak

ISI Bengaluru

6

Formal smoothness and smoothness, separable field extensions, Cohen structure theorem (equichar. Case) jacobian criterion, relation to flatness and Kahler differentials

Prof Manoj Kummini

CMI

6

Excellent rings; Lichtenbaum-Schlessinger functors.

 

References:

  1. Matsumura, Commutative Algebra
  2. Eisenbud, Commutative algebra with a view towards algebraic geometry
  3. Hartshorne, Algebraic geometry
  4. Hartshorne, Deformation theory.

 


Time Table

 Time-Table (with names of speakers and course associates/ tutors):

Day

Date

Lecture 1

(9.30
to
11.00)

Tea

(11.05
to
11.25)

Lecture 2

(11.30
to
1.00)

Lunch

(1.05
to
2.25)

Tutorial

(2.30
to
3.30)

Tea

(3.35
to
3.55)

Tutorial

(4.00
to
5.00)

Snacks

5.05
to
5.30

 

 

(name of the speaker)

 

(name of the speaker)

 

(name of the speaker + tutors)

 

(name of the speaker + tutors)

 

Mon

2/12//2019

MD

 

SS

 

MD+2

 

SS+2

 

Tues

3/12/19

MD

 

SS

 

MD+2

 

SS+2

 

Wed

4/12/19

MD

 

SS

 

MD+2

 

SS+2

 

Thu

5/12/19

MD

 

SS

 

MD+2

 

SS+2

 

Fri

6/12/19

MD

 

SS

 

MD+2

 

SS+2

 

Sat

7/12/19

MD

 

SS

 

MD+2

 

SS+2

 

 SUNDAY : OFF

Mon

9/12/19

SN

 

MK

 

SN+2

 

MK+2

 

Tues

10/12/19

SN

 

MK

 

SN+2

 

MK+2

 

Wed

11/12/19

SN

 

MK

 

SN+2

 

MK+2

 

Thu

12/12/19

SN

 

MK

 

SN+2

 

MK+2

 

Fri

13/12/19

SN

 

MK

 

SN+2

 

MK+2

 

Sat

14/12/19

SN

 

MK

 

SN+2

 

MK+2

 

 

Tutorial Assistants:

S. No.

Name

Affiliation

1

Ramakrishna Nanduri

IIT Kharagpur

 

 

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