# Mathematical Sciences Research Institute

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# Seminar

COMD Learning Seminar Series: Spaces of Branched Coverings April 29, 2022 (01:30 PM PDT - 02:30 PM PDT)
Parent Program: Complex Dynamics: from special families to natural generalizations in one and several variables
Speaker(s) Laurent Bartholdi (Universität des Saarlandes)
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#### COMD Learning Seminar Series: Spaces Of Branched Coverings

Abstract/Media

To participate in this seminar, please register HERE.

For every $n,d$, the space of degree-$d$ bicritical branched coverings of $S^2$ with a critical cycle of length $n$ is connected. This is a topological analogue of questions raised in the talks by Tanya Firsova and Eko Hironaka. I will prove this result, explaining along the way why it is essentially a group-theoretical question.