commit 979fd6ecdf56ae7045c6cc7b7288c3149e4078b7 Author: Miguel Marco Date: Fri Oct 16 14:02:43 2020 +0200 Primer commit diff --git a/seminario.css b/seminario.css new file mode 100644 index 0000000..17317a9 --- /dev/null +++ b/seminario.css @@ -0,0 +1,214 @@ +.reveal { + background: white; +} + +.rise-enabled #notebook-container { + + width: 100% !important; +} + +div.cell { + padding: 0; +} + +.rise-enabled .text_cell { + margin: -1px; +} + +.rise-enabled.ctb_global_show .ctb_show ~ .text_cell_render, rise-enabled.ctb_global_show .ctb_show ~ .text_cell_render { + padding-left: 7%; + padding-right: 7%; +} + +div.input { + padding-left: 5%; + padding-right: 5%; + padding-bottom: 0.5em; + padding-top: 0.5em; +} + +div.output_wrapper { + padding-left: 5%; + padding-right: 5%; + padding-top: 0.25em; + padding-bottom: 0.25em; +} + +.reveal .slides > section.present { + height: 100%; +} + +.reveal .slides > section.stack { + + overflow: scroll; +} + + +.rise-enabled #exit_b, .rise-enabled #help_b, .rise-enabled .reveal .controls, .rise-enabled .reveal .slide-number { + opacity: 0.1; +} + +.reveal div.slides { + width: 90% !important; + padding-left: 5% !important; + padding-right: 5% !important; + margin-top:0 !important; +} + +.reveal .slides section { + + position: absolute !important; + left: 0px !important; + width: 90%; + top: 0px !important; + margin-left: 5%; + margin-right: 5%; + padding-bottom: 20px; + padding-top: 0px !important; + padding-left: 0px; + padding-right: 0px; + +} + +.reveal h1{ + text-align: center !important; + padding-left: 3% !important; + padding-top: 5% !important; + padding-bottom: 5% !important; + padding-right: 3% !important; + margin-top: 10%; + margin-bottom: 7%; + text-transform: uppercase; + font-size: 2em; + border-radius: 25px; + color: white; + text-align: center; + background: #223d71; +} + +.reveal h1.title { + text-align: center !important; + padding-left: 3% !important; + padding-top: 5% !important; + padding-bottom: 5% !important; + padding-right: 3% !important; + margin-left: 10% !important; + margin-top: 6%; + width: 80% !important; + text-transform: uppercase; + font-size: 2em; + border-radius: 25px; +} + +.reveal p.author, .reveal p.date { + text-align: center; +} + +.reveal .controls { + color: #223d7114 +} + +.reveal h2 { + margin-top: 0 !important; + background: #223d71; + margin-left: -16%; + margin-right: 0; + margin-bottom: 4%; + margin-top: -2% !important; + width: 125% !important; + font-size: 1.77em; + padding-bottom: 2%; + padding-top: 2%; + color: white; + text-align: left; + padding-left: 16%; +} + +.reveal h3 { + + text-align: center; + font-family: serif; + font-weight: normal !important; +} +} + + +.reveal li, +.reveal p { + font-size: 1em; + padding-top: 30px; + font-family: serif; +} + +.reveal li li { + font-size: 1em; +} + +.reveal p { + text-align: justify; + font-family: serif; + padding-bottom: 0.5em; + line-height: initial; +} + +.reveal p img, .reveal p video { + margin-left: auto; + margin-right: auto; + display: block; + max-height: 350px; +} + +.reveal li { + list-style-position: inside; + display: list-item; + font-family: serif; + margin: 0 0 30px 0; +} + +.reveal ol, .reveal ul { + display: inline-block; + text-align: left; + margin: 0 0 0 1em; + font-family: serif; +} + +.reveal ul ul, .reveal ul ol, .reveal ol ol, .reveal ol ul { + display: block; + margin-left: 40px; + list-style-type: square; + font-family: serif; + margin-top: 30px; +} + +.reveal video { + margin-top: 30px; + max-height: 350px; +} + +.reveal.overview { + top: 0%; + left: 0%; +} + +.reveal .slides section { + /* height: 100%; */ + width: 100% !important; + padding-left: 0; + margin-left: 0; +} + +.reveal .progress { + height: 5px; + background-color: rgba(0, 128, 128, 0.1); +} + +.rise-enabled .reveal .progress span { + background: #223d71; +} + +.reveal td { + font-size: 25px +} +.reveal th { + font-size: 25px +} diff --git a/seminario.ipynb b/seminario.ipynb new file mode 100644 index 0000000..1ea30e2 --- /dev/null +++ b/seminario.ipynb @@ -0,0 +1,171 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Diagramas de Rudolf de curvas planas\n", + "\n", + "

Seminario Rubio de Francia

\n", + "\n", + "

Miguel Angel Marco Buzunariz

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Geometría algebraica\n", + "\n", + "Considerar un sistema de ecuaciones polinómicas\n", + "\n", + "$$f_1(x_1,\\ldots,x_n)$$\n", + "$$f_2(x_1,\\ldots,x_n)$$\n", + "$$\\vdots$$\n", + "$$f_m(x_1,\\ldots,x_m)$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "El conjunto $V$ de sus soluciones forman una *variedad algebraica*." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Problema general de la geometría algebraica\n", + "\n", + "Estudiar la geometría de $V$ usando la estructura algebraica de las ecuaciones que la definen." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Nos vamos a restringir a los casos más fáciles:" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "- $m=1, n=2$ (curvas planas)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "- $\\mathbb{K}=\\mathbb{C}$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Resultados clásicos conocidos" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "- Si la curva es lisa: teoría de las superficies de Riemann\n", + " - Superficies de género $g=\\frac{d(d-1)}{2}$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "**Ejemplo**: $y^2= 1-x^2$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "La proyección sobre el eje $x$ es $2:1$ excepto cuando $1-x^2=0$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "SageMath 9.1", + "language": "sage", + "name": "sagemath" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + }, + "rise": { + "transition": "none" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}