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# Michael Thaddeus : Mirror Symmetry and Langlands Duality

Strominger, Yau and Zaslow have proposed that Calabi-Yau mirror partners should be families of special Lagrangian tori over the same base which are dual to each other. I will exhibit some striking evidence for this proposal: pairs of Calabi-Yau orbifolds satisfying the requirements of SYZ for which the expected equality of stringy Hodge numbers can be completely verified. This is in a sense the first enumerative evidence supporting SYZ. The construction I will present is the first of several suggesting a general principle: for any construction using a compact Lie group to construct a Calabi-Yau, mirror partners arise from applying the construction to Langlands dual groups.

**Category**: Other Meetings and Events**Duration**: 01:05:48**Date**: October 31, 2001 at 4:00 PM**Views**: 18-
**Tags:**seminar, Special Lecture

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