Slides and Lectures

On local properties of non-Archimedean analytic spaces                        PDF (81 KB)
A lecture on Math. Ann 318 paper.

On local properties of non-Archimedean analytic spaces II                    PDF (77 KB)
A lecture on Isr. J. of Math. 140 paper.

Desingularization of quasi-excellent schemes over Q                               PDF (178 KB)
A lecture on Adv. Math.
219 paper.

Inseparable uniformization of valued fields                                              PDF (158 KB)
A lecture related to the preprint on inseparable local uniformization.

Relative Riemann-Zariski spaces                                                               PDF (178 KB)
A lecture on the preprint on the Riemann-Zariski spaces.

Desingularization of quasi-excellent schemes of characteristic zero       PDF (267 KB)
A lecture on embedded and non-embedded functorial desingularization
given at Hironaka 80 congress (an older lecture on the same topic is here).

Non-archimedean analytic spaces                                                               PDF (372 KB)
An introductory lecture on Berkovich analytic spaces.

Wild coverings of Berkovich curves                                                            PDF (359 KB)
A lecture on wild covers of Berkovich spaces given at the conference
in honor of Arthur Ogus on the occasion of his 70.

Logarithmic resolution of singularities                                                        PDF (285 KB)
A lecture on a new resolution algorithm given at the conference
in honor of Askold Khovanskii on the occasion of his 70.