# Kato-Nakayama spaces vs infinite root stacks

## Mattia Talpo (University of British Columbia)

I will talk about a comparison result between two objects that one can associate to a fine saturated log scheme over the complex numbers, namely the Kato-Nakayama space and the infinite root stack (joint work with D. Carchedi, S. Scherotzke and N. Sibilla). I will start by briefly introducing log geometry through motivations and examples, then I will focus on these two objects, that are different incarnations of the "log part" of the geometry of a log scheme. Towards the end I will state our result, and (time permitting) give an idea of what it boils down to.

Tuesday, April 12th, at 4:00pm in HBH 227

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