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GROMOV-WITTEN INVARIANTS AND QUANTUM COHOMOLOGY OF GRASSMANNIANS
GROMOV-WITTEN INVARIANTS QUANTUM COHOMOLOGY
2015/12/17
This is the written version of my ˉve lectures at the Banach Center
mini-school on `Schubert Varieties', in Warsaw, Poland, May 18{22, 2003.
Singularities of duals of Grassmannians
Singularities of duals of Grassmannians Algebraic Geometry Differential Geometry
2012/6/21
Let $X$ be a smooth irreducible nondegenerate projective variety and let $X^*$ denote its dual variety. It is well known that $\sigma_2(X)^*$, the dual of the 2-secant variety of $X$, is a component o...
Unitary grassmannians
Algebraic groups hermitian and quadratic forms projective homogeneous varieties Chow groups and motives
2012/4/18
We study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspa...
Incompressibility of orthogonal grassmannians
Algebraic groups quadratic forms projective homogeneous varieties Chow groups and motives
2011/8/24
Abstract: We prove the following conjecture due to Bryant Mathews (2008). Let Q be the orthogonal grassmannian of totally isotropic i-planes of a non-degenerate quadratic form q over an arbitrary fiel...