Student Algebraic Geometry

Statement of the problem (Section 2.5.1–3 of [IMS09]), small examples

Patchworking with singularities (Section 2.4 of [IMS09])

Examples of patchworking (Section 2.3.3–4 of [IMS09]), if time permits, dealing with non-convex triangulations (Section 2.3.5 of [IMS09])

The statement and proof of the patchworking theorem (Section 2.3.1–2 of [IMS09])

Other facts about toric varieties that we need (Chapter 2.2.4–6 of [IMS09]), if time permits, other topics (Chapter 2 of [Ful93])

Construction and examples of toric varieties (Chapter 1 of [Ful93] or Chapter 2.2.1–3 of [IMS09])

We will give an overview of tropical geometry and the goal of the seminar.

We will follow Chapter 1 of Haesemeyer–Weibel's The norm residue theorem in motivic cohomology.

We will follow Lecture 10 of Mazza–Voevodsky–Weibel's Lecture notes on motivic cohomology.

We will follow Lecture 9 of Mazza–Voevodsky–Weibel's Lecture notes on motivic cohomology.