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Thursday, February 22, 2018
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4:00pm [4:00pm]Mikhail Borovoi, Tel Aviv University, currently at TIFR
Description:
Speaker: Mikhail Borovoi, Tel Aviv University, currently at TIFR Date: Thursday, February 22, 2018 Time: 4:00 pm -- 5:00 pm Venue: Ramanujan Hall Title: Cayley groups Abstract ​: ​ I will start the talk from the classical "Cayley transform" for the special orthogonal group SO(n) defined by Arthur Cayley in 1846. A connected linear algebraic group G over C is called a *Cayley group* if it admits a *Cayley map*, that is, a G-equivariant birational isomorphism between the group variety G and its Lie algebra Lie(G). For example, SO(n) is a Cayley group. A linear algebraic group G is called *stably Cayley* if G x S is Cayley for some torus S. I will consider semisimple algebraic groups, in particular, simple algebraic groups. I will describe classification of Cayley simple groups and of stably Cayley semisimple groups. (Based on joint works with Boris Kunyavskii and others.)

5:00pm