Workshop I: Combinatorial Geometry Problems at the Algebraic Interface

Part of the Long Program Algebraic Techniques for Combinatorial and Computational Geometry
March 24 - 28, 2014

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, March 24, 2014

Morning Session
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
8:55 - 9:00 Welcome and Opening Remarks
9:00 - 9:50
10:00 - 10:30 Break
10:30 - 11:20
David Cox (Amherst College)

Euclidean and Algebraic Geometry
PDF Presentation

 
11:30 - 1:30 Lunch (on your own)

Afternoon Session
1:30 - 2:20
2:30 - 3:00 Break
3:00 - 3:50
Larry Guth (Massachusetts Institute of Technology)

From incidence geometry of lines towards incidence geometry of tubes

 
4:00 - 6:00 Poster Session & Reception (Hosted by IPAM)

Tuesday, March 25, 2014

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Marie-Francoise Roy (Université de Rennes I)

Two algorithmic methods in real algebraic geometry
PDF Presentation

 
10:00 - 10:30 Break
10:30 - 11:20
 
11:30 - 1:30 Lunch (on your own)

Afternoon Session
1:30 - 2:20
Jozsef Solymosi (University of British Columbia)

Refinements of cell decompositions of point-line arrangements

 
2:30 - 2:45 Break
2:45 - 3:35
Andrew Suk (Massachusetts Institute of Technology)

Density-type theorems for semi-algebraic hypergraphs

 
3:45 - 4:00 Break
4:00 - 4:50

Wednesday, March 26, 2014

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
10:00 - 10:30 Break
10:30 - 11:20
Orit Raz (Tel Aviv University)

 

 

Thursday, March 27, 2014

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Nets Katz (California Institute of Technology)

The Sums-differences approach to the Kakeya Problem

 
10:00 - 10:30 Break
10:30 - 11:20
Frank de Zeeuw (École Polytechnique Fédérale de Lausanne (EPFL))

Distinct distances on algebraic curves
PDF Presentation

 
11:30 - 1:30 Lunch (on your own)

Afternoon Session
1:30 - 2:20
Martin Sombra (ICREA (Catalan Institution for Research and Advanced Studies)

The number of solution of a system of polynomial equations
PDF Presentation

 
2:30 - 2:45 Break
2:45 - 3:35
Sylvain Cappell (New York University)

Reidemeister-Franz Torsion and a Generalization of Kirchoff's Theorem to Geometrical Complexes

 
3:45 - 4:00 Break
4:00 - 4:50
Konrad Swanepoel (London School of Economics and Political Science)

Some results and problems related to the Sylvester-Gallai theorem

 

Friday, March 28, 2014

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Alex Iosevich (University of Rochester)

The square root law, Salem sets and structure of rings

 
10:00 - 10:30 Break
10:30 - 11:20
Noam Solomon (Ben-Gurion University of the Negev)

Incidences between points and lines in R4 and related problems

 
11:30 - 1:30 Lunch (on your own)

Afternoon Session
1:30 - 2:20
2:30 - 3:00 Break
3:00 - 3:50
Terence Tao (University of California, Los Angeles (UCLA))

Expanding polynomials and an algebraic regularity lemma