Publications associées à GLOBALLY plus -REGULAR VARIETIES AND THE MINIMAL MODEL PROGRAM FOR THREEFOLDS IN MIXED CHARACTERISTIC

Applications of one-point extensions to compute the A∞-(co)module structure of several Ext (resp., Tor) groups

Let A be a nonnegatively graded connected algebra over a noncommutative separable k-algebra K, and let M be a bounded below graded right A-module. If we denote by T the -coalgebra , we know that there exists an -comodule structure on over T. The structure ...

2019

Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0

Zsolt Patakfalvi, Lei Zhang

Let k be an algebraically closed field of characteristic p > 0. We give a birational characterization of ordinary abelian varieties over k: a smooth projective variety X is birational to an ordinary abelian variety if and only if kappa(S)(X) = 0 and b(1)(X ...

DUKE UNIV PRESS2019

The unfolding argument: Why IIT and other causal structure theories cannot explain consciousness

Michael Herzog, Kathryn Hess Bellwald, Adrien Christophe Doerig, Aaron Schurger

How can we explain consciousness? This question has become a vibrant topic of neuroscience research in recent decades. A large body of empirical results has been accumulated, and many theories have been proposed. Certain theories suggest that consciousness ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2019

Progress in modelling solidification microstructures in metals and alloys: dendrites and cells from 1700 to 2000

Wilfried Kurz

This is the first account of the history of our understanding of, and ability to model, solidification microstructures. Its objective is to retrace the scientific steps made, from the earliest observations of the eighteenth century to our present-day under ...

TAYLOR & FRANCIS LTD2019

Local Theory of the Insulating State

Antimo Marrazzo

An insulator differs from a metal because of a different organization of the electrons in their ground state. In recent years this feature has been probed by means of a geometrical property, the quantum metric tensor, which addresses the system as a whole, ...

AMER PHYSICAL SOC2019

Arithmetic and geometric structures in cryptography

Benjamin Pierre Charles Wesolowski

We explore a few algebraic and geometric structures, through certain questions posed by modern cryptography. We focus on the cases of discrete logarithms in finite fields of small characteristic, the structure of isogeny graphs of ordinary abelian varietie ...

EPFL2018

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

Dimitri Stelio Wyss, Michael Gröchenig

We prove the Topological Mirror Symmetry Conjecture by Hausel-Thaddeus for smooth moduli spaces of Higgs bundles of type

SL_n

and

PGL_n

. More precisely, we establish an equality of stringy Hodge numbers for certain pairs of algebraic orbifolds generica ...

2017

Distinct distances on regular varieties over finite fields

Van Thang Pham

In this paper we study some generalized versions of a recent result due to Covert, Koh, and Pi (2015). More precisely, we prove that if a subset in a regular variety satisfies vertical bar epsilon vertical bar >> q(d-1/2 + 1/k-1), then Delta(k,F)(epsilon) ...

Elsevier2017

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Van Thang Pham

In this thesis we study a number of problems in Discrete Combinatorial Geometry in finite spaces. The contents in this thesis are structured as follows: In Chapter 1 we will state the main results and the notations which will be used throughout the thesis. ...

EPFL2017

Motivic and p-adic Localization Phenomena

Dimitri Stelio Wyss

In this thesis we compute motivic classes of hypertoric varieties, Nakajima quiver varieties and open de Rham spaces in a certain localization of the Grothendieck ring of varieties. Furthermore we study the

p

-adic pushforward of the Haar measure under a ...

EPFL2017

GLOBALLY plus -REGULAR VARIETIES AND THE MINIMAL MODEL PROGRAM FOR THREEFOLDS IN MIXED CHARACTERISTIC

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Applications of one-point extensions to compute the A∞-(co)module structure of several Ext (resp., Tor) groups

Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0

The unfolding argument: Why IIT and other causal structure theories cannot explain consciousness

Progress in modelling solidification microstructures in metals and alloys: dendrites and cells from 1700 to 2000

Local Theory of the Insulating State

Arithmetic and geometric structures in cryptography

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

Distinct distances on regular varieties over finite fields

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Motivic and p-adic Localization Phenomena

Motivic and p-adic Localization Phenomena

Distinct distances on regular varieties over finite fields

Local Theory of the Insulating State

Applications of one-point extensions to compute the A∞-(co)module structure of several Ext (resp., Tor) groups

Progress in modelling solidification microstructures in metals and alloys: dendrites and cells from 1700 to 2000

The unfolding argument: Why IIT and other causal structure theories cannot explain consciousness

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

Arithmetic and geometric structures in cryptography