T-singular surfaces of general type

Viernes 26 de marzo. Auditorio Prof. Manuel López Ramírez. de Matemática y Estadística UFRO. 16:00 Hrs.

Conferencista: Julie Rana, Lawrence University, Appleton, USA


We explore the moduli space of stable surfaces, where the simplest of questions continue to remain open for almost all invariants. A few such questions: Of the allowable singularities, which ones actually occur on a stable surface? Which of these deform to smooth surfaces? How can we use this knowledge to find divisors in the moduli spaces? Can we developa stratification of these moduli spaces by singularity type? Our focus will be on cyclic quotient singularities, with an emphasis on discussing concrete visual examples built out of rational, K3, and elliptic surfaces.