IISER Mohali, Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306

Hyperbolic Groups and Non-Compact Real Algebraic Curves

Anna Pratoussevitch (University of Liverpool)

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We will discuss the spaces of non-compact real algebraic curves, i.e. pairs (P,t), where P is a compact Riemann surface with a finite number of holes and punctures and t:P->P is an anti-holomorphic involution. We will describe the uniformization of non-compact real algebraic curves by Fuchsian groups. We will construct the spaces of non-compact real algebraic curves and describe their connected components. We will show that every connected component is homeomorphic to a quotient of a finite-dimensional real vector space by a discrete group and determine the dimensions of these vector spaces. (This is joint work with Sergey Natanzon.)

Meeting ID: 965 6407 4895
Passcode: 631708
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