Embedded Files
We are grateful to the seven speakers who have kindly agreed to contribute to this meeting. Below, the titles and abstracts of their talks are listed in alphabetical order.
Victor Chachay (Université de Bourgogne)
TBA
Victor Chachay (Université de Bourgogne)
TBA
Title: TBA
Abstract: TBA
Pascal Fong (Leibniz Universität Hannover)
TBA
Pascal Fong (Leibniz Universität Hannover)
TBA
Title: TBA
Abstract: TBA
Daniela Paiva Peñuela (Universität Basel)
The generalized Gizatullin’s problem
Daniela Paiva Peñuela (Universität Basel)
The generalized Gizatullin’s problem
Title: The generalized Gizatullin’s problem.
Abstract: The problem of determining which automorphisms of a smooth quartic surface S ⊂ P3 are induced by birational maps of P3 remains open. This question is known as Gizatullin’s problem. In this talk, we will discuss this problem and a generalized version, where we pose the same question for projective K3 surfaces contained in Fano threefolds. I we will provide a general overview of the theory of K3 surfaces and the birational geometry of Fano threefolds, and explain how the interaction between these two areas can be used to approach Gizatullin’s problem. The results I will present are part of several joint works with Carolina Araujo, Michela Artebani, Alice Garbagnati, Ana Quedo, and Sokratis Zikas.
Keyao Peng (Université de Bourgogne)
Cellular A1-Homology of Smooth Toric Varieties
Keyao Peng (Université de Bourgogne)
Cellular A1-Homology of Smooth Toric Varieties
Title: Cellular A1-Homology of Smooth Toric Varieties
Abstract: In this talk, we explore the calculations of cellular A1-homology for smooth toric varieties, an analog of classic cellular homology. We provide an explicit description of pure shellable cases and discuss the derivation of the (Milnor-Witt) motivic decomposition for these cases, inspired by classic results in real toric manifolds. These findings offer new and refined algebraic invariants for toric varieties, reflecting both their complex and real points. Additionally, we can present an additive basis for the Chow groups of general smooth toric varieties.
Linus Erik Rösler (École Polytechnique Fédérale de Lausanne)
TBA
Linus Erik Rösler (École Polytechnique Fédérale de Lausanne)
TBA
Title: TBA
Abstract: TBA
Anne Schnattinger (Université de Neuchâtel)
Weak Fano threefolds arising as the blowup of a hyperquadric in P^4 along a curve
Anne Schnattinger (Université de Neuchâtel)
Weak Fano threefolds arising as the blowup of a hyperquadric in P^4 along a curve
Title: Weak Fano threefolds arising as the blowup of a hyperquadric in P^4 along a curve
Abstract: Given a smooth hyperquadric Y in P^4, we consider its blowup X along a smooth irreducible curve C contained in Y. We study the question, when X is a weak Fano threefold, that is, when it has a nef and big anticanonical divisor. We are able to give a complete classification of such threefolds only depending on some geometric properties of C, particularly its genus and degree. We introduce the main proof ideas which include the analysis of the linear system given by the anticanonical divisor of X, as well as studying curves contained in a smooth K3 surface of degree 6.
Rosa Winter (Albert-Ludwigs-Universität Freiburg)
Many rational points on del Pezzo surfaces of low degree
Rosa Winter (Albert-Ludwigs-Universität Freiburg)
Many rational points on del Pezzo surfaces of low degree
Title: Many rational points on del Pezzo surfaces of low degree
Abstract: Del Pezzo surfaces are classified by their degree, which is an integer between 1 and 9. The lower the degree, the less we know about their set of rational points X(k) for k a non-closed field. However, it is generally believed that a del Pezzo surface with one rational point contains many, and that they are well distributed. I will give an overview of different notions of ‘many’ rational points, and go over several results for rational points on del Pezzo surfaces of degree 1 and 2. This is based on joint works with Julie Desjardins and Julian Demeio and Sam Streeter.
Page updated
Google Sites
Report abuse