Last week I gave a talk on the Canadian Undergraduate Mathematics Conference 2022 on Schubert calculus and cohomology of Grassmannians. Here are the slides of my talk.
This was actually quite a challenging topic for me since I only began to learn about Grassmannians this term, and I didn’t have a ton of time to prepare. In the end, I didn’t feel I understood Chern classes so I only briefly mentioned how it could be used for proving that there are \(27\) lines on a smooth cubic surface. Origianlly, I had hoped to also learn about generalized flag varieties, Bruhat decomposition, and Borel–Weil–Bott theorem, but I really ran out of stamina. Perhaps I will find sometime to learn about them in the future.
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