
Time |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
9:30-10:30AM | Sturmfels 1 | Wampler 2 | Sturmfels 2 | Sturmfels 3 | Sturmfels 4 |
10:30-11AM | Break | Break | Break | Break | Break |
11AM-12PM | Dickenstein 1 | Maclagan 1 | Maclagan 2 | Maclagan 3 | Maclagan 4 |
12-2PM | Lunch | Lunch | Free | Lunch | Lunch |
2-3PM | Wampler 1 | Dickenstein 2 | Free | Dickenstein 3 | Dickenstein 4 |
3-3:30PM | Break | Break | Free | Break | Break |
3:30-5:30PM | Problem Session | Problem Session | Free | Problem Session | Problem Session |
All Lectures will be held in Room 1116 in Klaus Advanced Computing Building.
The exercises are posted on t-square and some solutions are on http://aga2012.wikidot.com.
Guest Lecturer Visit Times and Preliminary Lecture Titles:
Alicia Dickenstein: Computational algebra and biochemical reaction networks
Diane Maclagan:
1. Groebner Complex and Non-Constant Coefficient Tropical Varieties.
2. Fundamental Theorem of Tropical Geometry.
3. Tropical Implicitization.
4. Tropical Implicitization via Geometric Tropicalization.
Bernd Sturmfels:
1. Convex Algebraic Geometry.
2. The Central Curve in Linear Programming.
3. The Entropic Discriminant.
4. Non-negative Polynomials versus Sums of Squares.
Charles Wampler: Applications of Numerical Algebraic Geometry I,II
Week 1:
Pablo Parrilo:
1. Intro to Convex Geometry.
2. Semidefinite Optimization.
3. Sums of Squares and Semidefinite Optimization.
4. Polynomial Optimization.
Rekha Thomas:
1. Intro to Groebner Bases.
2. Cone Factorizations I.
3. Theta Bodies.
4. Cone Factorizations II.
Anton Leykin: Intro to Computational Algebra and Numerical Algebraic Geometry I-III.
Josephine Yu:
1. Polytopes and Tropical Hypersurfaces.
2. Groebner Fan and Constant Coefficient Tropical Varieties.
Greg Blekherman: What is Convex Algebraic Geometry?
Week 2:
Mike Stillman: Primary Decomposition I-V.
Thomas Kahle: Binomial Primary Decomposition.
Anton Leykin:
4. Singular Solutions: End Games and Deflation.
5. Numerical Irreducible and Primary Decomposition.
Josephine Yu:
3. Tropical Varieties, Mixed Volume, Bernstein's Theorem.
4. Elimination.
5. Resultants.
Greg Blekherman:
2. Cones of Nonnegative Polynomials and Sums of Squares: Duals, Faces, Boundary.
3. Dual Cone to Sums of Squares and Positive Gorenstein Ideals.
4. Real Waring Rank.
First Set of Exercises is posted here.
Social Activities:
Saturday 6/23/2012: There will be a picnic at Piedmont Park starting at 10:30AM. Bring frisbees, soccer balls, etc. We have reserved the double-decker bandstand pavilion. The map of Piedmont park is available here.
Wednesday 6/27/2012: We will take an excursion to Stone Mountain. The bus will pick you up from the dorms at 6:30PM.