30th-siicusp

A short lecture of mine on my scientific initiation project for 30th SIICUSP

Diffstat

5 files changed, 117 insertions, 0 deletions

diff --git a/.gitignore b/.gitignore
@@ -0,0 +1,17 @@
+_minted-main
+*.aux
+*.bak
+*.bbl
+*.blg
+*.log
+*.nav
+*.out
+*.xml
+*.snm
+*.toc
+*.fdb_latexmk
+*.fls
+*.vrb
+*.bcf
+*.pdf
+images/*.pdf

diff --git a/LICENSE b/LICENSE
@@ -0,0 +1 @@
+This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA

diff --git a/README.md b/README.md
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+# 30th SIICUSP Presentation
+
+A short lecture of mine on my scientific initiation project for 30th
+[SIICUSP](https://siicusp.prp.usp.br/pt/home/).
+
+## TODO
+
+* Why study representation theory?
+  * Linear actions
+* Structure-preserving representations: continuous and smooth representation
+* Lie algebras and the Lie functor
+* The fundamental Lie theorems
+* Irreducible representations of 𝔰𝔩₂ℂ
+* Weights and roots
+* Verma modules

diff --git a/main.tex b/main.tex
@@ -0,0 +1,13 @@
+\def\hidepauses{yes}
+\input{preamble}
+
+\title{Representações de Grupos e Álgebras de Lie}
+\author{Thiago Brevidelli Garcia \\ \texttt{pablopie.xyz}}
+\date{Outubro de 2022}
+
+\begin{document}
+\begin{frame}
+  \maketitle
+\end{frame}
+
+\end{document}

diff --git a/preamble.tex b/preamble.tex
@@ -0,0 +1,71 @@
+\ifdefined\hidepauses
+  \documentclass[handout, notheorems, 9pt]{beamer}
+\else
+  \documentclass[notheorems, 9pt]{beamer}
+\fi
+\usepackage{amsmath, amssymb, amsthm, stmaryrd, gensymb}
+\usepackage{mathtools, adjustbox}
+\usepackage{enumitem, xfrac, xcolor, cancel, multicol, tabularx, relsize}
+\usepackage{fancyvrb, hyperref, csquotes}
+\usepackage[backend=biber]{biblatex}
+\usepackage{pgfplots, tikz, tikz-cd}
+\usepackage{graphicx, wrapfig}
+\usepackage[normalem]{ulem}
+\usepackage{minted}
+\usepackage{fontspec}
+
+% Set the color scheme used by minted
+\usemintedstyle{manni}
+
+% Configure graphics
+\usetikzlibrary{calc, shadows.blur, shapes.geometric, patterns, arrows}
+\pgfplotsset{compat=1.16}
+
+% Get propper inequality symbols
+\renewcommand{\leq}{\leqslant}
+\renewcommand{\le}{\leqslant}
+\renewcommand{\geq}{\geqslant}
+\renewcommand{\ge}{\geqslant}
+\renewcommand{\preceq}{\preccurlyeq}
+\renewcommand{\succeq}{\succcurlyeq}
+
+% Display long arrows instead of short ones
+\renewcommand{\to}{\longrightarrow}
+\renewcommand{\mapsto}{\longmapsto}
+
+% Blockquotes
+\let\blockquote\relax
+\NewDocumentEnvironment{blockquote}{m O{Citação}}
+  {\begin{block}{#2}}
+  {\newline {\normalfont \rightline{--- #1}}\end{block}}
+
+% Useful theorem definitions
+\newtheorem*{theorem}{Teorema}
+\newtheorem*{lemma}{Lema}
+\newtheorem*{corollary}{Corolário}
+\newtheorem*{proposition}{Proposição}
+\theoremstyle{definition}
+\newtheorem*{definition}{Definição}
+\newtheorem*{example}{Exemplo}
+\theoremstyle{remark}
+\let\note\relax
+\newtheorem*{fact}{Fato}
+\newtheorem*{note}{Nota}
+
+% Beamer settings
+\usetheme[progressbar=frametitle]{metropolis}
+\setbeamertemplate{itemize items}{\textbullet}
+\setmonofont{DejaVu Sans Mono}
+
+% Configure how items look
+\setenumerate[0]{label={\normalfont\arabic*.}}
+\setitemize{label=\usebeamerfont*{itemize item}%
+  \usebeamercolor[fg]{itemize item}
+  \usebeamertemplate{itemize item}}
+
+% Configure the spacing of columns in tables
+\setlength{\tabcolsep}{5pt}
+
+% Include references that aren't cited anywhere
+\nocite{*}
+