## 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 R^{2} |

| | 15-16 | Berk Yıldız | Moving out the edges of a lattice polygon |

### References

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