摘要：This is joint work with M. Vlasenko. The notion of ?motivic gamma function is due to V. Golyshev. Basically, a motivic ?gamma function is the Mellin transform of the solution of a linear ?differential equation on the Riemann sphere. Using work of Golyshev ?and Zagier on inhomogeneous Frobenius solutions, we show that the ?Mellin integrand in this case has a canonical primitive. As a ?consequence, certain particularly interesting motivic gammas have ?Taylor coefficients which are given by the variation of the solution ?around a conifold singularity. Again following Golyshev and Zagier, ?this has consequences for mirror symmetry. This talk will be for non-experts!!!

报告人简介：Spencer Bloch is an American mathematician ?known for his contributions to algebraic geometry and algebraic ?K-theory. Bloch is a R. M. Hutchins Distinguished Service Professor ?Emeritus in the Department of Mathematics of the University of ?Chicago. He is a member of the U.S. National Academy of Sciences and ?the American Academy of Arts and Sciences, a fellow of the American ?Mathematical Society. At the International Congress of Mathematicians ?he gave an invited lecture in 1978 and a plenary lecture in 1990. He ?was a visiting scholar at the Institute for Advanced Study in 1981-82. ?He received a Humboldt Prize in 1996.