Tópicos: Geometria sobre F1

This term, we are planning an online seminar on F1-geometry with a focus on tropical scheme theory. This could essentially follow the plans for a seminar from last semester, which was cancelled due to the crisis, but
it depends on the participants to decide about the precise content in a first meeting. In particular, we will decide about secondary directions of the seminar, which could be the Connes-Consani program, algebraic groups over F1 or the moduli space of matroids, to give some ideas.

I will begin with an introductory talk, which will be followed by a discussion about the contents and a distribution of the first talks.

The first meeting is scheduled for Wednesday, August 19, 10:30–12:00.
In this meeting, we will also decide the times of the seminar. Please let me know if you want to attend the seminar, but cannot attend the first meeting.

Referências:
Matt Baker and Oliver Lorscheid. The moduli space of matroids. Preprint, arXiv:1809.03542, 2018.
Alain Connes. An essay on the Riemann hypothesis. In Open problems in mathematics, pages 225–257. Springer, 2016.
Jeffrey Giansiracusa and Noah Giansiracusa. Equations of tropical varieties. Duke Math. J., 165(18):3379–3433, 2016.
Oliver Lorscheid. Scheme theoretic tropicalization. Preprint, arXiv:1508.07949, 2015.
Oliver Lorscheid. F1 for everyone. Jahresber. Dtsch. Math.-Ver. 120(2):83–116, 2018.
Sam Payne. Analytification is the limit of all tropicalizations. Math. Res. Lett., 16(3):543–556, 2009.

* Ementa básica. O professor tem autonomia para efetuar qualquer alteração.