Seminarer - Side 6

Ritwik Mukherjee (TIFR) gives the Seminar in Algebra and Algebraic Geometry:

Title: Enumerative Geometry of singular curves in a Linear System

Abstract: Enumerative geometry is a branch of mathematics that deals with the following question: "How many geometric objects satisfy certain constraints". A well known class of enumerative question is to count curves in a linear system H^0(X,L) that have some prescribed singularities. In this talk we will describe a topological method to approach this problem. We will express the enumerative numbers as the Euler class of an appropriate bundle. We will then go on to explain how we compute the degenerate contribution of the Euler class using a topological method.

John Christian Ottem, UiO, gives the Seminar in Algebra and Algebraic Geometry:

Title: Moduli of K3s via Global Torelli

Abstract: I'll give a brief account of the Torelli theorems and the construction of the moduli space of K3 surfaces 

Alessandro Oneto​ (Stockholm)​ gives the Seminar in Algebra and Algebraic Geometry:

Ideals of points and Waring problems for polynomials​

Sofia Tirabassi (UiB), gives the Seminar in Algebra and Algebraic Geometry:

Title: Characterization of product of theta divisors

Abstract: This is a joint work with Z. Jiang and M. Lahoz. We give a new cohomological characterization of product of theta divisors in principally polarized abelian varieties and we completely classify n-varieities with of maximal albanese dimension and with irregularity 2n-1 and euler characteristic 1, extending lower dimensional results of Hacon--Pardini. I will do my best to keep the first hour enjoyable and entertaining also for graduate students with background in algebraic geometry (and related areas).

Jørgen Vold Rennemo (Oxford) gives the Seminar in Algebra and Algebraic Geometry:

K3 surfaces seminar: The moduli spaces of polarized K3 surfaces

Arvid Siqveland (HBV), gives the Seminar in Algebra and Algebraic Geometry:

K3 surfaces seminar: Endomorphism fields and Mumford–Tate groups II

Arvid Siqveland (HBV), gives the Seminar in Algebra and Algebraic Geometry:

K3 surfaces seminar: Endomorphism fields and Mumford–Tate groups

Hirokazu Nasu (Tokai University), gives the Seminar in Algebra and Algebraic Geometry:

Obstructions to deforming curves lying on a K3 surface in a Fano 3-fold​

Abstract

Slides

Fredrik Meyer (UiO), gives the Seminar in Algebra and Algebraic Geometry:

K3 surfaces V: Hodge structures

Atanas Iliev, Seoul National University, gives the Seminar in Algebra and Algebraic Geometry: 

Verra 3-folds and EPW quartics 

Andrea Hofmann (HBV) gives the Seminar in Algebra and Algebraic Geometry:

Minimal resolutions for projective models of K3 surfaces in rational normal scrolls

Literature used in the seminar are selected chapters in the book «K3 Projective Models in Scrolls» by Trygve Johnsen and Andreas Leopold Knutsen.

Geir Ellingsrud (UiO), gives the Seminar in Algebra and Algebraic Geometry:

Projective models of K3-surfaces II

Geir Ellingsrud, UiO, gives the Seminar in Algebra and Algebraic Geometry:

Projective models of K3-surfaces (after Saint-Donat) 

John Christian Ottem, UiO, gives the Seminar in Algebra and Algebraic Geometry:

Introduksjon til K3-flater (etter Saint-Donat)

Jørgen Vold Rennemo (Oxford), gives the Seminar in Algebra and Algebraic Geometry:

Gauge-dualitet

Kristian Ranestad, UiO, gives the Seminar in Algebra and Algebraic Geometry:

Variety of sums of powers of bihomogeneous forms

Sandra Di Rocco, KTH, gives the Seminar in Algebra and Algebraic Geometry

Toric vector bundles

Francesco Cavazzani, Harvard University, gives the Seminar in Algebra and Algebraic Geometry:

Complete twisted cubics

Martin Gulbrandsen, UiS, gives the Seminar in Algebra and Algebraic Geometry

The dual cell complex of Hilbert scheme degenerations  

Kristian Ranestad, UiO, gives the Seminar in Algebra and Algebraic Geometry

EPW cubes

Felipe Rincon, UiO, gives the Seminar in Algebra and Algebraic Geometry

Positroids and the totally nonnegative Grassmannian

Felipe Rincon, UiO, gives the Seminar in Algebra and Algebraic Geometry

Tropical Ideals

Felipe Rincon, UiO, gives the Seminar in Algebra and Algebraic Geometry

An introduction to tropical geometry

Carsten Lütken, UiO, gives the Seminar in Algebra and Algebraic Geometry:

Modular curves VIII