Talk #1 (9:30 - 10:45 am): Daren Cheng, Department of Pure Mathematics, University of Waterloo
"A strong stability condition on minimal submanifolds and its implications, Part 2"
I will continue where I left off last time with the paper by Tsai and Wang (J. Reine Angew. Math., 2020) and finish presenting the proof of their uniqueness theorem for strongly stable minimal submanifolds. Then I will go over a few examples of strongly stable minimal submanifolds that they discuss in the paper. In most of these examples, the submanifold is calibrated to begin with.
Talk #2 (11:00 am - 12:15 pm): Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"McLean's second variation formula revisited"
I will discuss a paper of the same title by Van Le and Vanzura. The authors revisit the second variation formula for calibrated submanifolds, originally due to McLean, especially in the associative and Cayley settings. They give simpler proofs, modulo some results of Gayet and Ohst relating the normal bundles in these settings to twisted spinor bundles. I will try to review those results as well.
MC 5403