3:30 pm Tuesday, October 2, 2012
Jr Geometry: An Introduction to Toric Varieties from Fans by Travis Mandel (UT Austin) in RLM 9.166
Toric varieties are complex varieties containing an algebraic torus as a dense open subset, such that the torus action on itself extends to the whole variety. They form basic building blocks and motivating examples for many related geometric ideas, including log geometry, integrable systems, mirror symmetry, cluster varieties, the minimal model program, resolutions of singularities, and much more. In this talk, I plan to explain how to construct toric varieties from fans, and I hope to convey how to easily "see" the structure of the variety from the structure of the fan. The focus will be on creating intuition. Yuan will say more about toric varieties next week. Submitted by
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