Meeting: Fridays 10-12 in room A3.119

Inhalt:

Im Seminar werden Bachelor- und Masterstudenten sowie Doktoranden von ihrer Forschungsarbeit für ihre Abschlussarbeiten berichten. Das Programm wird durch Gastvorträge und die Vorstellung interessanter Artikel ergänzt werden.
 
This term, we will learn about the polyhedral side of the "Minimal Model Program".
Keywords are subdivisions of polyhedral cones, type cones/nef cones, volume polynomial, flips. As an orientation we will use the preprint [B].
 
 
 

Vorträge

Datum Thema Referenzen Vortragende*r
22.4.22 Overview   Christian
29.4.22 toric hypersurfaces, compactifications
(cone hierarchy: canonical, terminal, smooth, etc. ??)		 [B, §§1,2] Christian
6.5.22 dimension 2 [HS] Sofía
13.5.22 type cones, volume polynomial [CDGRY] Kyle
20.5.22 wall crossing, flips, chamber complex
(talk 9-11; bike ride + picknick to Euler lecture)		 § Dante
27.5.22 -- summer school -- §  
3.6.22 -- summer school -- §  
10.6.22 review chamber complex; volume polynomial § Christian?
17.6.22 Todd operator: volume to Ehrhart § Marie
24.6.22 -- no talk -- §  
1.7.22 Math+ Party @ Futurium & BBAW    
8.7.22 Fine Interior & Canonical Hull [B, §§3,4] Sofía
15.7.22 -- no talk --    
22.7.22 Canonical Refinement [B, §§5,6] Kyle

Literatur

[B] Victor V. Batyrev: Canonical models of toric hypersurfaces; arXiv:2008.05814

[CDGRY] Federico Castillo, Joseph Doolittle, Bennet Goeckner, Michael S. Ross, Li Ying: Minkowski summands of cubes; arxiv:2009.07252

[HS] Christian Haase, Josef Schicho: Lattice Polygons and the Number 2i + 7; https://www.jstor.org/stable/27642692?seq=1