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# Geometric Methods in Rep Theory Seminar – Syu Kato (Kyoto University)

## April 5 @ 4:00 pm - 5:00 pm

**Algebraic models of semi-infinite flag manifolds**

**Abstract.** We first recall the classical Borel-Weil-Bott theorem and examine its representation-theoretic meaning. Then, we exhibit affine analogue of their representation-theoretic meaning and form several schemes. Finally, we identify the resulting schemes with so-called semi-infinite flag manifolds set-theoretically known from 1980s and its Schubert and Richardson varieties. This talk is mainly based on arXiv:1810.07106.