Workshop II: Tools from Algebraic Geometry - IPAM

Workshop II: Tools from Algebraic Geometry

Part of the Long Program Algebraic Techniques for Combinatorial and Computational Geometry
April 7 - 11, 2014

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, April 7, 2014

Morning Session

08:00-08:55
Check-In/Light Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:50
Michel Coste (Université de Rennes I)
Semialgebraic and o-minimal geometry : the method of ideal points.
09:00-09:50
Michel Coste (Université de Rennes I)
Semialgebraic and o-minimal geometry : the method of ideal points.
10:00-10:30
Break
10:30-11:20
Micha Sharir (Tel Aviv University)
Algebraic techniques for incidence problems: Consumer demand
11:30-12:20
Jozsef Solymosi (University of British Columbia)
Extremal problems for linear k-uniform hypergraphs

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Joshua Zahl (University of British Columbia)
Multi-level partitioning theorems
15:00-15:30
Break
15:30-16:20
Alex Iosevich (University of Rochester)
Group actions and geometric combinatorics in vector spaces over finite fields
16:30-18:00
Poster Session & Reception (Hosted by IPAM)

Tuesday, April 8, 2014

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Bernd Sturmfels (Max-Planck Institute for Mathematics in the Sciences)
The Euclidean Distance Degree
10:00-10:30
Break
10:30-11:20
Zuzana Safernova (Charles University, Prague)
On the non-existence of k-reptile simplices in R^3 and R^4
11:30-12:20
Joseph Landsberg (Texas A&M University - College Station)
Hilbert functions and geometric complexity theory

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Ravi Vakil (Stanford University Medical School)
Using discrete ideas in algebraic geometry
15:00-15:30
Break
15:30-16:20
Erwan Brugallé (École Polytechnique)
Enumeration of real curves interpolating a configuration of points
16:30-17:20
Jordan Ellenberg (University of Wisconsin-Madison)
Unusual varieties in characteristic 0 and characteristic p

Wednesday, April 9, 2014

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Steven Kleiman (Massachusetts Institute of Technology)
Extraordinary Hypersurfaces in Positive Characteristic
10:00-10:30
Break
10:30-11:20
Nicolai Vorobjov (University of Bath)
Approximation of definable sets by compact families
11:30-12:20
Martin Sombra (ICREA and Universitat de Barcelona)
Bounds for the Hilbert function of polynomial ideals

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Cordian Riener (Aalto University)
Bounds on equivariant Betti numbers for symmetric semi algebraic sets
15:00-15:30
Break
15:30-17:20
Problem & Discussion Session

Thursday, April 10, 2014

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Andrei Gabrielov (Purdue University)
Triangulation of monotone families of compact sets
10:00-10:30
Break
10:30-11:20
Daniel Perrucci (University of Buenos Aires)
A symbolic approach to polynomial optimization over basic closed semialgebraic sets
11:30-12:20
Ragni Piene (University of Oslo)
Higher order osculating spaces and dual varieties of toric embeddings

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Sal Barone (Georgia Institute of Technology)
Refined Bound on the Higher Betti Numbers of Sign Conditions
15:00-15:30
Break
15:30-16:20
Emmanuel Briand (University of Sevilla)
Invariant Theory and classification problems
16:30-17:20
Ke Ye (Chinese Academy of Sciences)
Geometry of matrix decomposition

Friday, April 11, 2014

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Marie-Francoise Roy (Université de Rennes I)
Using infinitesimals for algorithms in real algebraic geometry
10:00-10:30
Break
10:30-11:20
Cynthia Vinzant (University of Michigan)
Symmetroids and quartic spectrahedra
11:30-12:20
Terence Tao (University of California, Los Angeles (UCLA))
The Lang-Weil inequality and the etale fundamental group

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Kristian Ranestad (University of Oslo)
Apolarity and decompositions of homogeneous forms
15:00-15:30
Break
15:30-16:20
Abdelmalek Abdesselam (University of Virginia)
Chromatic properties of graphs and the Waring problem for homogeneous polynomials
16:30-17:20
Saugata Basu (Purdue University)
Montone maps in o-minimal geometry
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