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Speaker: Kamryn Spinelli

Affiliation: ³ÉÈË´óƬ

Title: An introduction to tautological systems

Abstract: A tautological system is a type of holonomic D-module constructed to govern periods of Calabi-Yau families. For periods of Calabi-Yau complete intersections or double covers of a fixed compact complex manifold X, Lian and Yau gave a recipe to write down the tautological system governing the canonically normalized period integrals discussed in the last talk. One great advantage is that when X is a homogeneous variety G/P, the tautological system has a tactile description in terms of the representation theory of G. In this talk we will give a tour of the theory of tautological systems, with examples.