We have agreed to meet certain
Fridays 10-12 @ the Villa.
Below is a tentative schedule for us to learn the necessary background to unterstand this article:
https://arxiv.org/abs/1711.09512
And we will have breakfast.
We have agreed to give out "homework" after each talk and to discuss these assignments in between talks.
|
Nov 12 |
Ehrhart theory, generating functions, h* | [BR], [HNP] | Sofía |
|
Nov 26 |
Ehrhart theory, "irrational" decomposition, h* ≥ 0 | [BR], [HNP] | Sofía |
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Dec 10 |
Ehrhart theory, reciprocity, degree, codegree | [BR], [HNP] | Sofía |
|
Jan 07 |
IDP and all that | [AIM09], [MFO07], [MFO17] | Christian |
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Jan 14 |
recitation session | [AIM09], [MFO07], [MFO17] | Christian |
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Jan 21 |
semigroup rings, toric ideals and their Gröbner bases | [GBCP], [AIM09], [MFO07], [MFO17] | Kyle |
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Jan 28 |
recitation session | Christian | |
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Feb 4 |
linear systems of parameters, regular sequences, Cohen Macaulay rings, Hilbert functions | [MS], [S] | Dante |
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Feb 11 |
recitation session | Christian | |
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Feb 18 |
linear systems of parameters, regular sequences, Cohen Macaulay rings, Hilbert functions | [MS], [S] | Dante |
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Feb 25 |
Lefschetz elements, Kähler package | Christian?? | |
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Mar 3 & 4 |
Mini-Symposium on Lattice Polytopes The talks will be given on Zoom:
Meeting ID: 672 2864 2911
Password: 359878
During the morning and afternoon breaks you are invited to join us on gather.town:
(No password needed.)
|
https://sites.google.com/view/mini-symposium-lattice-poly-22 | |
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Mar 18 |
uniform position principle | https://arxiv.org/abs/1711.09512 | Kyle & Sofía |
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Mar 18 |
spanning lattice polytopes, no-gaps-theorem, uniform position principle | https://arxiv.org/abs/1711.09512 | Sofía & Kyle |
[AIM09] American Institute of Mathematics workshop Combinatorial challenges in toric varieties https://www.aimath.org/ARCC/workshops/toricvarieties.html
[BR] Matthias Beck, Sinai Robins: Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra; Springer 2015.
[GBCP] Bernd Sturmfels: Gröbner Bases and Convex Polytopes. A.M.S. University Lecture Series 8 (1996).
[HNP] Christian Haase, Benjamin Nill, Andreas Paffenholz: Lattice Polytopes (lecture notes) [pdf (2012)] [pdf(2019)]
[MFO07] Mini-Workshop: Projective normality of smooth toric varieties. Oberwolfach Reports 4(3): 2283-2320 (2007).
[MFO17] Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications. Oberwolfach Reports 14(3): 2659--2701 (2017).
[MS] Ezra Miller, Bernd Sturmfels: Combinatorial Commutative Algebra, Springer GTM 227 (2005).
[S] Richard Stanley: Combinatorics and Commutative Algebra. Birkhäuser (1996).
| Course No | Course Type | Hours |
|---|---|---|
| 19223516 | Forschungsseminar | 2 |
| Time Span | 19.10.2021 - 15.02.2022 |
|---|---|
| Instructors |
Christian Haase
Ulrike Bücking
Jan-Hendrik de Wiljes
Halit Dur
Sofía Garzon Mora
Kyle Ruike Huang
Sophie Rehberg
Karin Schaller
|
| Day | Time | Location | Details |
|---|---|---|---|
| Tuesday | 12-14 | A7/SR 140 Seminarraum (Hinterhaus) | 2021-10-19 - 2022-02-15 |