| Date | Speaker | Title | Notes |
| January 17 | No meeting | ||
| January 24 | Rick Miranda (CSU) | The Harbourne-Hirschowitz Conjecture and Extensions to Higher Dimensions | Abstract: Given n general points {p_i} in the plane, one may consider the linear system of curves of degree d having multiplicity m_i at p_i for each i. This linear system has an expected dimension (attained when all of the conditions being imposed are independent). Those systems whose dimension is larger than expected are called *special*, and the Harbourne-Hirschowitz Conjecture purports to give a description of all special systems. I will discuss the HH conjecture and extensions to higher dimensions |
| January 31 | Cristiano Bocci (visiting CSU) | Families of Gorenstein Ideals | Abstract: In this seminar, I explain how to construct arithmetically Gorenstein (aG) zero-schemes in P3 which are not complete intersections (CI) and how to `visualize' them. The geometric idea of this construction is to choose X c Pn a closed, aG subscheme of codimension 3, and W c X a closed CI subscheme of X of codimension 3. We construct a suitable CI closed subscheme Y of codimension 3 in such a way that the join of (the residual) X\W with Y is aG. |
| February 7 | David Goldberg (CSU) | The fundamental group of the Galois cover of the product of the projective line with a torus. (part iii.) | |
| February 14 | David Goldberg (CSU) | The fundamental group of the Galois cover of the product of the projective line with a torus. (part iv) | |
| February 21 | Rick Miranda (CSU) | Symmetry groups of rhythms and gaits | Special location: Weber 117. Abstract: Let X = X(t) = (x1(t),x2(t),...,xn(t)) be a vector of periodic functions with common period one [so that X(t+1) = X(t) for all t]. We will investigate the extra possible symmetry that such a vector enjoys. The treatment is quite elementary, but leads to some interesting observations. Such a vector X may be considered as a rhythm (viewing each coordinate as a separate instrument) or as a gait (viewing each coordinate as one foot of an animal). |
| February 28 | Holger Kley (CSU) | TBA | |
| March 7 | Holger Kley (CSU) | Quantum Schubert Calculus | |
| March 14 | No talk (Spring Break) | Quantum Schubert Calculus (part ii) | |
| March 21 | Holger Kley (CSU) | Quantum Schubert Calculus (part iii) | |
| March 28 | Jeanne Duflot (CSU) | Simplicial Groups as Models for Algebraic K-Theory | |
| April 4 | Jeanne Duflot (CSU) | Simplicial Groups as Models for Algebraic K-Theory (part i) | |
| April 11 | Jeanne Duflot (CSU) | Simplicial Groups as Models for Algebraic K-Theory (part iii) | |
| April 18 | |||
| April 25 | |||
| May 2 |