Workshop I: Combinatorial Geometry Problems at the Algebraic Interface - IPAM

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

08:00-08:55
Check-In/Light Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:50
Saugata Basu (Purdue University)
A survey of quantitative bounds on the complexity of definable sets
10:00-10:30
Break
10:30-11:20
David Cox (Amherst College)
Euclidean and Algebraic Geometry
11:30-13:30
Lunch (on your own)

Afternoon Session

13:30-14:20
Micha Sharir (Tel Aviv University)
Algebraic techniques for incidence problems: Consumer report
14:30-15:00
Break
15:00-15:50
Larry Guth (Massachusetts Institute of Technology)
From incidence geometry of lines towards incidence geometry of tubes
16:00-18:00
Poster Session & Reception (Hosted by IPAM)

Tuesday, March 25, 2014

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Marie-Francoise Roy (Université de Rennes I)
Two algorithmic methods in real algebraic geometry
10:00-10:30
Break
10:30-11:20
Adam Sheffer (California Institute of Technology)
Incidences between points and non-coplanar circles
11:30-13:30
Lunch (on your own)

Afternoon Session

13:30-14:20
Jozsef Solymosi (University of British Columbia)
Refinements of cell decompositions of point-line arrangements
14:30-14:45
Break
14:45-15:35
Andrew Suk (Massachusetts Institute of Technology)
Density-type theorems for semi-algebraic hypergraphs
15:45-16:00
Break
16:00-16:50
David Wood (Monash University)
Some geometric problems in need of some additive combinatorics

Thursday, March 27, 2014

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
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
11:30-13:30
Lunch (on your own)

Afternoon Session

13:30-14:20
Martin Sombra (ICREA (Catalan Institution for Research and Advanced Studies)
The number of solution of a system of polynomial equations
14:30-14:45
Break
14:45-15:35
Sylvain Cappell (New York University)
Reidemeister-Franz Torsion and a Generalization of Kirchoff's Theorem to Geometrical Complexes
15:45-16:00
Break
16:00-16:50
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

08:00-09:00
Continental Breakfast
09:00-09:50
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 (Tel Aviv University)
Incidences between points and lines in R<sup>4</sup> and related problems
10:30-11:20
Noam Solomon (Tel Aviv University)
Incidences between points and lines in R<sup>4</sup> and related problems
11:30-13:30
Lunch (on your own)

Afternoon Session

13:30-14:20
Joshua Zahl (University of British Columbia)
On the structure of planar point sets that determine few distinct distances
14:30-15:00
Break
15:00-15:50
Terence Tao (University of California, Los Angeles (UCLA))
Expanding polynomials and an algebraic regularity lemma
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