NCMW - Representation theory and syzygies (2023)

Speakers and Syllabus

 Syllabus to be covered in terms of modules of 6 lectures each :

Speaker and affiliation Number ofLectures Detailed Syllabus
Manoj Kummini CMI 4 Pure resolutions and Boij-Soederberg conjec- tures. Lascoux resolution.
K. N. Raghavan IMSc 4 Schur functors, Cauchy formula and Pieri formula in char 0. Equivariant pure resolutions in charac- teristic 0.
K. V. Subrahmanyam CMI 4 Grassmannians and flag varieties, tautological bundles. Borel-Weyl-Bott theorem.

 

 References

  1. [EFW11]D. Eisenbud, G. Fløystad, and J. Weyman. The existence of equivariant pure free resolutions. Ann. Inst. Fourier (Grenoble), 61(3):905–926, 2011.
  2. [FH91] W. Fulton and J. Harris. Representation theory, volume 129 of Graduate Texts in Mathematics. Springer-Verlag, New York,1991. A first course, Readings in Mathematics.
  3. [Wey03] J. Weyman. Cohomology of vector bundles and syzygies, volume 149 of Cambridge Tracts in Mathematics. Cambridge Uni-versity Press, Cambridge, 2003.

Time Table

Day Date Lecture 1
9.30–11.00

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E

A

 

 Lecture 2
11.30–1.00

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U

N

C

H
 

 Tutorial
2.30–3.30

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E

A

 Tutorial
4.00-5.00

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N

A

C

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S
Mon 18/12/2023 MK KNR MK, T1, T2 KNR, T1, T3
Tue 19/12/2023 KVS KNR KVS, T2, T3 KNR, T1, T2
Wed 20/12/2023 MK KVS MK, T1, T3 KVS, T2, T3
Thu 21/12/2023 MK KVS MK, T1, T2 KVS, T1, T3
Fri 22/12/2023 KVS KNR KVS, T2, T3 KNR, T1, T2
Sat 23/12/2023 MK KNR MK, T1, T3 KNR, T2, T3
Tutorial Assistants
S. No. Name Affiliation
1 Dr. Mandira Mondal IIT Jodhpur
2 TBD  
3 TBD  
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