BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Melih Üçer (Yıldırım Beyazıt) DTSTART:20220429T124000Z DTEND:20220429T134000Z DTSTAMP:20260423T021149Z UID:OBAGS/9 DESCRIPTION:Title: Bu rau Monodromy Groups of Trigonal Curves\nby Melih Üçer (Yıldırım Beyazıt) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstrac t\nFor a trigonal curve on a Hirzebruch surface\, there are several notion s of monodromy ranging from a very coarse one in S_3 to a very fine one in a certain subgroup of Aut(F_3)\, and one group in this range is PSL(2\,Z) . Except for the special case of isotrivial curves\, the monodromy group ( the subgroup generated by all monodromy actions) in PSL(2\,Z) is a subgrou p of genus-zero and conversely any genus-zero subgroup is the monodromy gr oup of a trigonal curve (This is a result of Degtyarev).\n\nA slightly fin er notion in the same range is the monodromy in the Burau group Bu_3. The aforementioned result of Degtyarev imposes obvious restrictions on the mon odromy group in this case but without a converse result. Here we show that there are additional non-obvious restrictions as well and\, with these re strictions\, we show the converse as well.\n LOCATION:https://researchseminars.org/talk/OBAGS/9/ END:VEVENT END:VCALENDAR