AIS - AIS Homotopy theory (2019)

Speakers and Syllabus


Names and affiliations of possible speakers.

  1. Rekha Santhanam, IIT Bombay
  2. Ajay Singh Thakur, IIT Kanpur
  3. Debasis Sen, IIT Kanpur
  4. Somnath Basu, IISER Kolkata
  5. Samik Basu, ISI Kolkata

Names and affiliations of the tutors.

  1. Aritra Bhowmick, ISI, Kolkata
  2. Debanil Dasgupta, ISI, Kolkata
  3. Sachchidanand Prasad, IISER, Kolkata

Certain speakers will conduct tutorials on the day of their lectures. Aritra Bhowmick will assist in the first week tutorials on basic homotopy theory. Sachchidanand Prasad and Debanil Dasgupta will assist in the other tutorials in both the weeks of the programme.

 

Lectures and tutorials are either 90 minutes or 60 minutes.

  • Topic A - Vector bundles, K-Theory, characteristics classes. Speaker - Ajay Singh Thakur. (A.S.T)
  • Topic B - Cohomology operations, equivariant cohomology. Speaker - Debasis Sen. (D.S)
  • Topic C - Atiyah-Segal completion theorem, equivariant K-theory. Speaker - Somnath Basu. (S.B1)
  • Topic D - Stable homotopy theory, equivariant stable homotopy theory. Speaker -Rekha Santhanam. (R.S)
  • Topic E - Computations in equivariant homotopy theory including π0S0 ≅ A(G), Segal conjecture, Sullivan conjecture. Speaker - Samik Basu. (S.B. 2)

Topics (A) and (B) will be covered in the first week, (C), (D) and (E) will be covered in the second week. The tutorial in the second week may also be used for participants’ lectures.

 


Time Table

Week 1

  10-11:30 11:45-1:15 1:15-2:45 2:45-3:45 4:00-5:00
13/05 A1 A.S.T B1 D.S L T : A.S.T, A.B, D.D T: D.S., A.B, S.P.
14/05 A2 A.S.T B2 D.S U T : A.S.T, A.B, D.D T: D.S., A.B, S.P.
15/05 A3 A.S.T B3 D.S N T : A.S.T, A.B, D.D T: D.S., A.B, S.P.
16/05 A4 A.S.T B4 D.S C T: A.S.T, A.B, D.D T: D.S., A.B, S.P.
17/05 A5 A.S.T B5 D.S H T : A.S.T, A.B, D.D T: D.S., A.B, S.P.
18/05 A6 A.S.T B6 D.S   T : A.S.T, A.B, D.D T: D.S., A.B, S.P.

 

Week 2

  10-11:30 11:45-1:15 1:15-2:30 2:30-4:00 4:15-5:15
20/05 C1 S.B1 D1 R.S. L E2 S.B. 2 T: S.B1, D.D, S.P.
21/05 C2 S.B1 D2 R.S. U E2 S.B. 2 T: R.S., D.D, S.P.
22/05 C3 S.B1 D3 R.S. N E2 S.B. 2 T: S.B.2, D.D, S.P.
23/05 C4 S.B1 D4 R.S. C E2 S.B. 2 T: S.B.1, D.D, S.P.
24/05 C5 S.B1 D5 R.S. H E2 S.B. 2 T: R.S., D.D, S.P.
25/05 C6 S.B1 D6 R.S.   E2 S.B. 2 T: S.B.2, D.D, S.P.

 

 

File Attachments: