BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250918T214656EDT-9475omTJW4@132.216.98.100 DTSTAMP:20250919T014656Z DESCRIPTION:Counting subgroups and hypermaps: common points.\n\nWe derive a generating series for the number of free subgroups of finite index in cer tain free products of cyclic groups. We also find a generating series for the number of their conjugacy classes. Both solutions rest on a connection between counting free subgroups and counting hypermaps (or their generali sations). We provide non-linear recurrence relations for the number of obj ects of both kinds\, and prove that in some cases the generating series is not D-finite\, and in all cases it is not algebraic. The talk will focus on the interplay between algebra\, geometry and combinatorics in the above problems.\n DTSTART:20171006T173000Z DTEND:20171006T183000Z LOCATION:Room PK-4323\, CA\, QC\, Montreal\, H2X 2Y7\, Seminar LACIM\, 201 Ave. President-Kennedy SUMMARY:Alexander Kolpakov\, University of Neuchâtel URL:/mathstat/channels/event/alexander-kolpakov-univer sity-neuchatel-270704 END:VEVENT END:VCALENDAR