Gregory Smith (Queen's)
Vanishing theorems and equations of embedded varieties
Understanding the relationship between the algebraic equations that cut out a variety
Y in X and the geometric features of the embedded variety Y lies at the heart of
algebraic geometry. In this talk, we will discuss the key theorems when the ambient
variety X is projective space. We'll then motivate and present new results designed
for other ambient varieties.
Vincent Bouchard (Alberta)
The geometry of mirror curves
According to the "remodeling conjecture", the generating
functions of Gromov-Witten invariants of toric Calabi-Yau threefolds
are fully determined in terms of a topological recursion. At the
origin of the recursion is the geometry of the corresponding mirror
curves, obtained through the Hori-Vafa mirror symmetry recipe. In this
talk I will describe the geometry of mirror curves and the remodeling
conjecture. In particular, I will explain how the "pair of pants"
decomposition of mirror curves plays an important role in the
topological recursion, in mirror analogy to the topological vertex
formalism on the Gromov-Witten side. This is joint work with Piotr
Sulkowski.
Shrawan Kumar (UNC)
Geometry of orbits of permanents and determinants
Abstract