Seminar on Toric Varieties

The seminar will take place on Wednesday, 14-16 in room WSC-N-U-3.02.

Everyone is welcome to attend the seminars, even without registering or giving a talk.

Abstract: Toric varieties form a special and important class of algebraic varieties. These are varieties that contain a dense algebraic torus whose group action extends to the whole variety. This condition allows for explicit constructions from combinatorial data (like lattices, fans, polytopes) and establishes a precise correspondence between toric varieties and purely combinatorial structures. This gives rise to an elegant dictionary translating geometric properties into purely combinatorial terms. As a result, toric varieties provide a fertile source of (counter)examples in algebraic geometry and are extremely useful for developing intuition for more abstract notions and constructions, such as those arising in singularity theory and GIT.

Prerequisites: A bit of familiarity with Spec A and with gluing constructions. A first course on schemes is recommended (possibly in parallel with this one).

Program: seminar schedule.

If you'd like to enrol, please register on the moodle page (password: "fan").