IST Algebraic Topology (2015)
| Venue: | Goa University |
| Dates: | 7th - 19th Dec |
| Convener(s) | Speakers, Syllabus and Time table | Applicants/Participants |
| Name | C. S. Aravinda | A. J. Jayanthan |
| Mailing Address | TIFR Centre for Applicable mathematics P. O. Box 6503, Sharada Nagara G. K. V. K. Post, BANGALORE - 560 065. |
Department of Mathematics Goa University Goa - 403 206. |
Overview: Basic focus in this workshop is a discussion of the topology of curves, surfaces, and to give an introduction to Algebraic Topology through a discussion of homotopy, fundamental group, covering spaces and simplicial homology. Main emphasis will be to explain concepts through examples. Below is a more descriptive information about the syllabus.
| Date | 9:00-10:00 | 10:30-11:30 | 11:45-12:45 | 15:00-16:00 | 16:30-17:30 |
| 07/12/15 | L1(CSA*) | L2(BT) | L3(AC) | T1 | T2 |
| 08/12/15 | L4(BR) | L5(AC) | L6(BT) | T3 | T4 |
| 09/12/15 | L7(BR) | L8(AC) | L9(BT) | T5 | T6 |
| 10/12/15 | L10(BR) | L11(AC) | L12(BT) | T7 | T8 |
| 11/12/15 | L13(CSA) | L14(AC) | L15(BT) | T9 | T10 |
| 12/12/15 | L16(BR) | L17(AC) | L18(KV) | – | – |
| S | U | N | D | A | Y |
| 14/12/15 | L19(HAG) | L20(SP) | L21(AC) | T11 | T12 |
| 15/12/15 | L22(HAG) | L23(SP) | L24(KV) | T13 | T14 |
| 16/12/15 | L25(HAG) | L26(SP) | L27(KV) | T15 | T16 |
| 17/12/15 | L28(HAG) | L29(SP) | L30(KV) | T17 | T18 |
| 18/12/15 | L31(HAG) | L32(SP) | L33(KV) | T19 | T20 |
| 19/12/15 | L34(HAG) | L35(SP) | L36(KV) | – | – |
| Speakers | Affiliations | Topics covered |
| C S Aravinda (CSA*) | TIFR CAM, Bangalore | Brief review of multivariable calculus. |
| Bankteshwar Tiwari (BT) | BHU-DST Centre, Varanasi | Bump functions, partition of unity, smooth Urysohn lemma; quotient topology, Group actions, quotient spaces, Projective plane, Klein bottle. |
| Anisa Chorwadwala (AC) | IISER, Pune | Definition of smooth manifolds as submanifolds of Rn, abstract definition by smoothness of transition functions, ‘medium form’ of the Whitney embedding theorem for compact manifolds, embeddings of Projective plane and Klein bottle in R4 . |
| Binoy Raveendran (BR) | TIFR CAM, Bangalore | Proof of triangulation of closed surfaces. |
| Suhas Pandit (SP) | IIT, Chennai | Homotopy, path homotopy, homotopy equivalence, Fundamental groups, covering spaces. |
| H A Gururaja (HAG) | TIFR CAM, Bangalore | Transversality, proof of orientability of closed surfaces in R3 . |
| Keerti Vardhan Madahar (KV) | Panjab University, Chandigarh | Simplicial homology, singular homology, homotopy invariance, equivalence of simplicial and singular homology, homology and fundamental group. |
Course Associates:-A J Jayanthan, Goa University and Amith Shasthri, TIFR, Mumbai.
| Selected Applicants |
| Name | Affiliation |
| 1. Mr. Mahesh Pravinsingh Solanki | Navrachana University |
| 2. Mr. Selvalumar | Indian Institute of Technologfy, Chennai |
| 3. Pprof. Pravin Singh Saini | Panjab |
| 4. Dr. Sameer Sharma | DAV College, Janmdhar, Panjab. |
| 5. Dr. Harindr Singh | Govt Rajendra College. |
| 6. Mr. Amith Sasthri | TIFR |
| 7. Ms. Dhanya P. M. | Calicut University. |
| 8. Dr. Randeep Ganguli | DST, CIMS, BHU |
| 9. Kedarnath Buda | IISER, Mohali. |
| 10. Praryush Mishra | IISER, Mohali |
| 11. Dr. Lucas Miranda | Govt. College. Queppem, Goa. |
| 12. Dr. M. Kunhanandan | Goa University |
| 13. Prof. C. S. Aravinda | TIFR, Bangaluru. |
| 14. Prof. H. A. Gururaja | TIFR, Bangaluu. |
| 15. Prof. Anisa Chorwadwala | IISER, Pune. |
| 16. Bankteshwar Tiwari | DST, CIMS, BHU. |
| 17. Prof. Keerti Vardhan Madahar | Panjab University. |
| 18. Prof. Suhas Pandit | IIT Madras, Chennai. |
| 19. Dr. Binoy Revindran | TIFR Bangaluru. |
| 20. Jayanthan, A. J. | Goa University. |
Some of the confirmed participants canceled at the last minute due to floods in Tamil Nadu,
particularly in Chennai.
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