Oberwolfach Reports


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Volume 14, Issue 3, 2017, pp. 2659–2701
DOI: 10.4171/OWR/2017/44

Published online: 2018-07-04

Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications

Takayuki Hibi[1], Akihiro Higashitani[2], Katharina Jochemko[3] and Benjamin Nill[4]

(1) Osaka University, Japan
(2) Kyoto Sangyo University, Japan
(3) KTH - Royal Institute of Technology, Stockholm, Sweden
(4) Otto-von-Guericke-Universität, Magdeburg, Germany

Lattice polytopes arise naturally in many different branches of pure and applied mathematics such as number theory, commutative algebra, combinatorics, toric geometry, optimization, and mirror symmetry. The miniworkshop on “Lattice polytopes: methods, advances, applications” focused on two current hot topics: the classification of lattice polytopes with few lattice points and unimodality questions for Ehrhart polynomials. The workshop consisted of morning talks on recent breakthroughs and new methods, and afternoon discussion groups where participants from a variety of different backgrounds explored further applications, identified open questions and future research directions, discussed specific examples and conjectures, and collaboratively tackled open research problems.

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Hibi Takayuki, Higashitani Akihiro, Jochemko Katharina, Nill Benjamin: Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications. Oberwolfach Rep. 14 (2017), 2659-2701. doi: 10.4171/OWR/2017/44