Date: Monday, September 27, 2021
Location: 4088 East Hall (4:00 PM to 5:15 PM)
Title: BorelWeilBott over C
Abstract: The BorelWeilBott theorem describes the cohomology of line bundles on flag varieties as certain representations. In particular, the BorelWeilBott theorem gives a geometric construction of the finite dimensional irreducible representations for reductive groups. In this talk, I will explicitly compute these representations for SL2(C). I will then motivate our previous computations with induced representations and Serre duality, leading to the BorelWeilBott theorem for SL2(C). Lastly, I will use the AtiyahBott fixed point formula to deduce the Weyl character formula from our geometric representations.
Files:
Speaker: Calvin YostWolff
Institution: UM
Event Organizer:
