Monday, April 22, 2019 - 12:50 , Location: Skiles 005 , Joe Kileel , Princeton University , email@example.com , Organizer: Justin Chen
Monday, April 15, 2019 - 12:50 , Location: Skiles 005 , Kalina Mincheva , Yale University , firstname.lastname@example.org , Organizer: Yoav Len
Monday, April 8, 2019 - 12:50 , Location: Skiles 005 , Mengyuan Zhang , University of California, Berkeley , email@example.com , Organizer: Justin Chen
Monday, April 1, 2019 - 12:50 , Location: Skiles 005 , TBA by Maria Angelica Cueto , Ohio State University , firstname.lastname@example.org , Organizer: Yoav Len
Monday, March 11, 2019 - 12:50 , Location: Skiles 005 , Borys Kadets , MIT , email@example.com , Organizer: Yoav Len
Let X be a degree d curve in the projective space P^r. A general hyperplane H intersects X at d distinct points; varying H defines a monodromy action on X∩H. The resulting permutation group G is the sectional monodromy group of X. When the ground field has characteristic zero the group G is known to be the full symmetric group.By work of Harris, if G contains the alternating group, then X satisfies a strengthened Castelnuovo's inequality (relating the degree and the genus of X).The talk is concerned with sectional monodromy groups in positive characteristic. I will describe all nonstrange nondegenerate curves in projective spaces of dimension r>2. for which G is not symmetric or alternating. For a particular family of plane curves. I will compute the sectional monodromy groups and thus answer an old question on Galois groups of generic trinomials.
Monday, February 11, 2019 - 12:50 , Location: TBA , Andrew Obus , Baruch College, CUNY , Andrew.Obus@baruch.cuny.edu , Organizer: Padmavathi Srinivasan
Monday, February 4, 2019 - 12:50 , Location: Skiles 005 , Botong Wang , University of Wisconsin-Madison , firstname.lastname@example.org , Organizer: Yoav Len
Monday, January 28, 2019 - 12:50 , Location: Skiles 005 , Jackson Morrow , Emory university , email@example.com , Organizer: Padmavathi Srinivasan
The conjectures of Green—Griffths—Lang predict the precise interplay between different notions of hyperbolicity: Brody hyperbolic, arithmetically hyperbolic, Kobayashi hyperbolic, algebraically hyperbolic, groupless, and more. In his thesis (1993), W.~Cherry defined a notion of non-Archimedean hyperbolicity; however, his definition does not seem to be the ``’correct’ version, as it does not mirror complex hyperbolicity. In recent work, A.~Javanpeykar and A.~Vezzani introduced a new non-Archimedean notion of hyperbolicity, which ameliorates this issue, and also stated a non-Archimedean variant of the Green—Griffths—Lang conjecture. In this talk, I will discuss complex and non-Archimedean notions of hyperbolicity as well as some recent progress on the non-Archimedean Green—Griffths—Lang conjecture. This is joint work with Ariyan Javanpeykar (Mainz) and Alberto Vezzani (Paris 13).