Advanced Computational Algebraic Geometry
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First lecture on 28/4. First exercise session on 8/5.
Tentative topics of this course are
- coherent sheaves cohomology
- Boij-Söderberg theory
- Tate resolutions on product of projective spaces
- unirationality proofs of moduli spaces
- random curves
- Chow forms and resultants
| Eisenbud et al. (Eds) | Computations in Algebraic Geometry with Macaulay2 | Springer Verlag | 2002 |
| D. Eisenbud, G. Floystad, F.-O. Schreyer | Sheaf cohomology and resolutions over the exterior algebra | Trans. Amer. Math. Soc. | 2003 |
| D. Eisenbud, F.-O. Schreyer | Resultants and Chow forms via exterior syzygies | J. Amer. Math. Soc. | 2003 |
| D. Eisenbud, F.-O. Schreyer | Betti Numbers of Syzygies and Cohomology of Coherent Sheaves | Proceedings of the ICM | 2010 |
| D. Eisenbud, F.-O. Schreyer | Boij-Söderberg Theory. Combinatorial Aspects of Commutative Algebra and Algebraic Geometry | Springer Verlag | 2011 |
| F.-O. Schreyer | Computer aided unirationality proofs for moduli spaces | in Handbook of Moduli, Volume III | 2013 |
- 2 hours lectures, 2 hours excercise session
- 6 Credit points
- 30h hours total time for lectures
- 30h hours total time for excercises
- 120h hours total time for self-study
The lectures take place on Mondays, 2-4 pm, in room HS IV, building E2 4.
Regular attendance to exercise sessions. Written or oral exam at the end of term.
Exercise sessions take place on Thursdays, 10-12 am, in Seminarraum 5 (011) . In the exercise sessions we plan to discuss together about questions and problems arising from lectures. A list of suggested topics will be sent per e-mail every week after Monday's lecture; a summarizing list could be downloaded here.
| Fabio Tanturri Zi. 429, Geb. E2 4 D-66123 Saarbrücken Tel. +49(0)681/302-2430 This email address is being protected from spambots. You need JavaScript enabled to view it. |