Date/Time: 4 November 2022, 4:30pm ET
 Location: Franklin and Marshall College, Stager Hall 215
  Speaker: Rose Kaplan-Kelly (Temple University)
    Title: Right-angled links in thickened surfaces

 Abstract:
Alternating links, links which admit a diagram in which crossings
alternate between over and under, are traditionally studied with
alternating diagrams on S^2 in S^3. In this talk, we will consider links
which are alternating on higher genus surfaces S_g in S_g x I. We will
define what it means for such a link to be right-angled generalized
completely realizable (RGCR) and show that this property is equivalent
to the link having two totally geodesic checkerboard surfaces,
equivalent to each checkerboard surface consisting of one type of
polygon, and equivalent to a set of restrictions on the link's
alternating projection diagram. In the setting of alternating knots on
S^2 in S^3, Gan showed that there are no knots with this property. We
will show that an RGCR knot does exist in thickened surfaces.