Spaces of resultants and toric varieties
Spaces of resultants and toric varieties
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Passcode: 114700
Over 40 years ago Graeme Segal in a seminal paper听 proved that the space of holomorphic maps听from the Riemann sphere S^2 to the complex projective space $CP^n$ approximates the spaces of听corresponding continuous maps, with the approximation getting better as the degree $d$ increases.听Segal made several conjectures about generalizing his theorem. A number such generalizations have听been found, and many different techniques have been used in proving them, but the听 general phenomenon听remains mysterious. In this talk I will discuss the generalizations of Segal's theorem to the case when听$CP^n$ is replaced by a toric variety and also to certain spaces that were defined by Farb and Wolfson听in an algebraic context. I will also discuss some听 real analogues of these results.听
This talk is based on the joint work with Kohhei Yamaguchi (University of Electrocommunications).