Speaker 
Title 
Abstract 
Ben Drabkin 
Containmenttight ideals from singular loci of reflection arrangements 
Given an ideal I in a commutative Noetherian ring R, the mth symbolic power of I is denoted I^{(m)}. By results of EinLazarsfeldSmith, HochsterHuneke, and MaSchwede every ideal I of codimension e in a regular ring satisfies the containment I^{(er)}\subseteq I^r. In many cases, this containment can be improved upon; however, in recent years a number of ideals have been found for which this containment is tight.
All known ideals exhibiting tight containments are codimension 2 and satisfy that I^{(3)} is a subset of I^2. Furthermore, most of these ideals define the singular loci of hyperplane arrangements for some complex reflection groups. This talk will aim to classify which complex reflection groups give rise to hyperplane arrangements whose singular loci exhibit the noncontainment I^{(3)} is not a subset of I^2. 
Justin Chen 
Primary decomposition and Noetherian operators 
Primary decomposition is a fundamental problem in computational algebraic geometry. For reduced schemes, numerical irreducible decomposition has been fairly successful, but additional data is needed in the nonreduced case. To this end, one may turn to Noetherian operators, which are polynomial differential operators that encode the multiplicity structure of an arbitrary ideal. I will discuss some theory and algorithms (implemented in Macaulay2) for computing Noetherian operators, which allows for numerical primary decomposition of unmixed ideals. This is joint work with Marc Harkonen, Robert Krone, and Anton Leykin.

Paolo Mantero 
Reeslike algebras 
Reeslike algebras were recently introduced by McCullough and Peeva to produce the first known counterexamples to the celebrated EisenbudGoto conjecture. In this talk we survey two very recent joint papers with J. McCullough and L. E. Miller studying some algebrogeometric properties of Reeslike algebras.
For a Reeslike algebra A we discuss its singular locus, its divisor class group and its Picard group.
We determine when does A have smooth general hyperplane sections, when is it seminormal (weakly normal or Fsplit), and we study its canonical module.
