The Workshop goal will be the enhancement of our understanding of Calabi–Yau manifolds from several points of view, i.e., arithmetic, geometry and physics.
Ever since the rise of mirror symmetry some 20 years ago Calabi–Yau varieties have been established as one of the most versatile subjects in mathematics and physics. The unmistakable focus of research on Calabi–Yau varieties has culminated in spectacular results in many different areas such as arithmetic, algebraic, differential and symplectic geometry, and physics (string theory). Recent progress, also related to the thematic program, includes the Gross-Siebert program, homological mirror symmetry, wall-crossing phenomena, quasi-modularity of various enumerative invariants.
There are numerous examples in which Calabi–Yau manifolds are encountered at the junction of two (or more) different fields of research. For example, the list of relations with physics starts with the unexpected relevance of algebraic varieties as compactification manifolds for string theory, continues with the even less expected enumerative predictions resulting from mirror symmetry, and can be extended all the way to the present day.
The proposed workshop aims to facilitate further the interactions of researchers from different areas of mathematics and physics and from all kinds of career stages.It will center around the cornerstones of the thematic program:
• Modular forms around string theory
• Enumerative geometry and Calabi–Yau varieties
• Physics around Mirror Symmetry
• Hodge theory in the physics landscape
• Gross-Siebert program
Dinner
On Sunday June 19th, there will be a dinner from 5-7 pm, followed by a pub gathering from 7:30-8:30 pm.
