Logarithmic Resolution of Singularities

Explore a groundbreaking lecture on the logarithmic resolution of singularities presented by Michael Temkin from Hebrew University. Delve into a recent series of works with Abramovich and Wlodarczyk that constructs a logarithmic analogue of the classical resolution of singularities of schemes in characteristic zero. Discover how this new logarithmic algorithm offers improved speed and functionality compared to traditional methods, albeit requiring work with log smooth ambient orbifolds instead of smooth ambient manifolds. Gain insights into the algorithm's versatility in resolving log schemes and morphisms of log schemes, leading to significant generalizations of various semistable reduction theorems. Enhance your understanding of advanced mathematical concepts in this hour-long presentation from the University of Miami.