Aditya Sarma Phukon, Temple University
This is the second talk based on a paper on normal bundles on rational curves in Grassmannians by Coskun, Larson and Vogt. This talk will focus largely on specialized machinery required for the proof. We introduce the notions of generalized pointing bundles and modified vector bundles. We shall state some propositions and maybe sketch their proofs before discussing a technique called one-secant degeneration. This will be used to track how vector bundles deform as the base curve deforms. Finally, we shall recall the various lemmas we saw in the previous talk and piece together the proof of the main theorem which is about how the particular normal bundles in question are 2-balanced. We might end on some remarks on implications.