SE: Discrete Mathematics/Geometry (Summer 2024)

This seminar covers topics in tropical geometry adjacent to the course Discrete Geometry III. It addresses students who want to write a Bachelor or Master Thesis on a topic near tropical geometry.

The seminar is organized as a block seminar. The presentations will be held in EN 058 on Thursday, July 04, 14:00-16:00 and Thursday, July 18, 14:00-16:00.

Thursday July 04 14-15 Milan Vasić Chow rings of toric varieties defined by atomic lattices
15-16 Jakob Kramer The tropical Grassmannian
Thursday July 18 14-15 Tim Burdack Enumerative tropical algebraic geometry in R2
15-16 Berk Yıldız Moving out the edges of a lattice polygon

References

  1. Castryck: Moving out the edges of a lattice polygon, Discrete Comput. Geom. 47 (2012).
  2. Castryck and Voight: On nondegeneracy of curves, Algebra Number Theory 3 (2009).
  3. Chan: Combinatorics of the tropical Torelli map, Algebra Number Theory 6 (2012).
  4. De Concini and Procesi: Wonderful models of subspace arrangements, Selecta Math. (N.S.) 1 (1995).
  5. Feichtner and Yuzvinsky: Chow rings of toric varieties defined by atomic lattices, Invent. Math. 155 (2004).
  6. Mikhalkin: Enumerative tropical algebraic geometry in R2, J. Amer. Math. Soc. 18 (2005).
  7. Speyer and Sturmfels: The tropical Grassmannian, Adv. Geom. 4 (2004).

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Last modified: Mo Jul 15 19:59:25 UTC 2024 by joswig