Events Calendar
Sign Up

Speaker:  Bianca Viray (University of Washington)

Title:  Quadratic points on intersections of quadrics

Abstract:  A protective degree 𝒹 variety always has a point defined over a degree 𝒹 field extension.  For many degree 𝒹 varieties, this is the best possible statement, that is, there exist classes of degree 𝒹 varieties that never have points over extensions of degree less than 𝒹 (nor even over extensions whose degree is nonzero modulo 𝒹).  However, there are some classes of degree 𝒹 varieties that obtain points over extensions of smaller degree, for example, degree 9 surfaces in ℙ 9 , and 6-dimensional intersections of quadrics over local fields.  In this talk, we explore this question for intersections of quadrics.  In particular, we prove that a smooth complete intersection of two quadrics of dimension at least 2 over a number field has index dividing 2, i.e., that it possesses a rational 0-cycle of degree 2.  This is joint work with Brendan Creutz.

_____________________________________________

This event is open to the MIT community only.

To receive announcements by email, add yourself to the nt mailing list.

Seminar Covid Statement

A notice to non-MIT seminar participants: at this time, not all seminars are open to the general public, and access to the MIT campus is highly regulated. Please check the seminar webpage or with the event organizer and confirm whether the seminar you’d like to attend is open to non-MIT (i.e. without CovidPass) attendees. Some seminars may offer a Zoom option for off-campus participants.

To access MIT buildings for a math seminar without MIT's CovidPass, you must be invited via a Tim Ticket ahead of time. There are no exceptions; please make sure to plan accordingly before coming to campus. To be able to activate the Tim Ticket, the attendee will need to submit an attestation about vaccination and health status and provide contact info.

Finally, a reminder to all in-person participants. MIT Covid policies must be adhered to: remember to keep your mask on while inside buildings, eating food is not allowed within lecture rooms, and if you are feeling sick on the day of the talk, please stay home!

Event Details

See Who Is Interested

  • Sarah von Bargen
  • Kritisha Kantilal Jain
  • Maria Aamir

3 people are interested in this event