R202, Astronomy-Mathematics Building, NTU
Speaker(s):
David Cox (University of Massachusetts, Amherst)
Henry Schenck (Iowa State University)
Organizer(s):
Jungkai Chen (National Taiwan University & NCTS)
Ching-Jui Lai (National Cheng Kung University)
Description
Toric varieties are algebraic varieties defined by combinatorial data, and there is a wonderful interplay between algebra, combinatorics and geometry involved in their study. Many of the key concepts of abstract algebraic geometry (for example, constructing a variety by gluing affine pieces) have very concrete interpretations in the toric case, making toric varieties an ideal tool for introducing students to abstruse concepts.
This simplicial fan in 3-dimensional space
Suggested Prerequisites:
‧ Chapters 1,2,3,4,5,8 of "Ideals, Varieties and Algorithms" and Sections 1.0, 2.0, 3.0, 4.0 and 6.0 of "Toric Varieties" (Section 0 of these chapters is a background section that discusses algebraic geometry with no knowledge of toric varieties required). An alternative to the Sections 0 would be "Introduction to Algebraic Geometry", available at
https://dacox.people.amherst.edu/.
‧ Chapters 1 and 2 of Hartshorne's "Algebraic Geometry".
Poster: events_3_159190710153013349.pdf
