Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Vector bundles on SL_3
Consider the special linear group SL_n over a field. Murthy proved that every vector bundle over SL_2 is trivial. Swan constructed a nontrivial vector bundle of rank two over SL_4 for the field of complex numbers. This led Nakamoto and Torii to investigate vector bundles over SL_3, and to conjecture that they are all trivial. I will discuss this conjecture using unstable A1-homotopy theory.
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