Pure Maths Seminar Series-Webinar

Only events in Fall 2020 are listed below.

Tea after seminar will be hosted on gather.town it would be great if you joined us.

• 2020-09-29: Claudia Reynoso Alcantara (CIMAT/University of Guanajuato, Mexico)  -  4pm BTS

  Title: Some important problems on theory of holomorphic foliations in the projective plane.

  Abstract: The main motivation for studying foliations on the projective plane is to solve systems of differential equations in the plane. In this talk we will introduce the basic concepts on foliations on the projective complex plane, we will also see some general results. And we will say something about three important problems in this theory. Finally we will present some results that we have, in a special class of foliations, related to these problems.

• 2020-10-06: Alicia Dickenstein (University of Buenos Aires, Argentina)

  Title: Iterated sparse discriminants and singular intersections of hypersurface

  Abstract: It is well known that two generic quadric surfaces intersect in a nonsingular quartic space curve, but when the intersection is not transverse this intersection curve may degenerate to a finite number of different possible types of singular curves.  In the nice paper by Farouki et al. (1989), the authors formulate a way of computing the condition for a degenerate intersection in this case, which refines in the real case and with an algorithmic point of view a classical treatise by  Bromwich (1906). Independently, Schläfli (1953) studied the degenerate intersection of two hypersurfaces described by multilinear equations.

  In joint work with S. di Rocco and R. Morrison,  we present a general framework of iterated sparse discriminants to characterize the singular intersection of hypersurfaces with a given monomial support A, which generalizes both previous situations. We  study the connection of iterated discriminants with the notion of mixed discriminant and the singularities of the sparse discriminant associated to A.

• 2020-10-20: Boris Chorny (University of Haifa, Israel)
  Title: TBA
  Abstract: TBA

• 2020-11-03: Omar Antolín (Institute of Mathematics, UNAM, Mexico) - 4pm BST
  Title: TBA

  Abstract: TBA

• 2020-11-17: Omid Amini (École Polytechnique, France)
  
  Title: TBA

  Abstract: TBA

• 2020-12-01: Neshan Wickramasekera (University of Cambridge, UK)
  Title: TBA
  Abstract: TBA

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Past events can be found on this page, and past events 2017 onwards can be found in the Pure Maths Seminar Archive.