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CourseCategoryTheory.html
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<!DOCTYPE html>
<html lang="en-US">
<head>
<meta charset="UTF-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1">
<!-- Begin Jekyll SEO tag v2.6.1 -->
<title>ITI9200 -- Category theory and its Applications</title>
<link rel="stylesheet" href="/assets/css/ct-course.css">
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css">
</head>
<body>
<div class="wrapper">
<div class="container">
<h1 id="introduction-to-category-theory-and-its-applications">
ITI9200 - Introduction to Category Theory and its Applications
</h1>
<h2>What</h2>
<p>
An introductory course on category theory and its applications.
</p>
<hr>
<h2>When</h2>
<p>
<center><table border="0" cellpadding="10" cellspacing="0" width="40%">
<tbody>
<tr>
<td><b>Thursday</b></td>
<td>16:00 - 17:30</td>
<td>SCI-059</td>
</tr>
<tr>
<td><b>Friday</b></td>
<td>17:15 - 18:45</td>
<td>SCI-059</td>
</tr>
</tbody>
</table></center>
<br><br>
First lecture: Thursday 06.02.2025<br>
Last lecture: Friday 23.05.2025
</p><hr>
<h2>Who</h2>
<p>
<ul>
<li> (teacher) <a href="http://tetrapharmakon.github.io">Fosco Loregian</a> (<a href="mailto:fosco.loregian@taltech.ee">fosco.loregian@taltech.ee</a>)</li>
<li> (co-teacher) <a href="https://iwilare.com/">Andrea Laretto</a> (<a href="mailto:andrea.laretto@taltech.ee">andrea.laretto@taltech.ee</a>)</li>
</ul><br>
</p>
<p>If you want to meet me, (email to agree on a time, and) come to <a href="https://taltech.ee/sundmused/loodusteaduste-paev-29-aprill-2022">CYB building</a> - Akadeemia tee 15/2, 12618 Tallinn.</p>
<p><center><iframe src="https://www.google.com/maps/embed?pb=!1m18!1m12!1m3!1d2031.1038878386723!2d24.658235877497873!3d59.39797920552337!2m3!1f0!2f0!3f0!3m2!1i1024!2i768!4f13.1!3m3!1m2!1s0x469295abfed5a303%3A0x39ee76f4b627b504!2sCybernetics'%20Building!5e0!3m2!1sit!2see!4v1737100563495!5m2!1sit!2see" width="600" height="450" style="border:0;" allowfullscreen="" loading="lazy" referrerpolicy="no-referrer-when-downgrade"></iframe></center></p>
</p>
<hr>
<h2>Misc</h2>
<p>
Good references for studying category theory are:
<center><table>
<!-- <thead>
<tr>
<th>Author</th>
<th>Title</th>
<th>PDF Link</th>
<th>Description</th>
</tr>
</thead> -->
<tbody>
<tr>
<td>Tom Leinster</td>
<td>Basic Category Theory</td>
<td><a href="https://arxiv.org/abs/1612.09375">PDF</a></td>
<td>Perfect for the real beginner.</td>
</tr>
<tr>
<td>Steve Awodey</td>
<td>Category Theory</td>
<td><a href="https://englishonlineclub.com/pdf/Category%20Teory%20%5BEnglishOnlineClub.com%5D.pdf">PDF</a></td>
<td>Particularly suited for logicians.</td>
</tr>
<tr>
<td>Micheal Barr & Charles Wells</td>
<td>Category Theory for Computing Science</td>
<td><a href="https://www.math.mcgill.ca/triples/Barr-Wells-ctcs.pdf">PDF</a></td>
<td>Particularly suited for computer scientists.</td>
</tr>
<tr>
<td>Emily Riehl</td>
<td>Category Theory in Context</td>
<td><a href="https://math.jhu.edu/~eriehl/context.pdf">PDF</a></td>
<td>A fresh, detailed guide to the ideas of category theory.</td>
</tr>
<tr>
<td>Francis Borceux</td>
<td>Handbook of Categorical Algebra</td>
<td><a href="">PDF</a></td>
<td>A monumental treatment of category theory, in three volumes.</td>
</tr>
<tr>
<td>Saunders Mac Lane</td>
<td>Categories for the Working Mathematician</td>
<td><a href="https://math.mit.edu/~hrm/palestine/maclane-categories.pdf">PDF</a></td>
<td>A classic text on category theory, written by its founding father.</td>
</tr>
</tbody>
</table></p></center>
<img src="stuff/libgen.png" alt="beware" class="center"></img><br>
<h2>Lectures' LOG</h2>
<p>Something more will appear here in due time...</p>
<ul>
<li>Lecture 1 -- Introductions, introduction, organization (<a href="stuff/ITI9200-2025-lecture1.pdf">link</a>)</li>
<!-- <li>January 29, 2024 <a href="stuff/lec1.pdf">[PDF]</a></li> -->
<!-- <li>February 15, 2024 <a href="stuff/CategoryTheory-2024-02-15.md">[MD]</a></li> -->
<!-- <li>February 22, 2024 <a href="stuff/Commutative_diagrams.pdf">[PDF]</a></li> -->
<!-- <li>February 22, 2024 <a href="stuff/yoneda.pdf">[PDF]</a></li> -->
</ul>
<!-- <hr> -->
</p>
<h2>Exercises</h2>
Something will appear here in due time [...]
<!-- Exercise sheets should be submitted to Fosco Loregian by email (fosco.loregian@taltech.ee, write "ITI9200" as subject), or handed in physically at the start or end of a lecture. -->
<!--
<p><ul>
<li>Exercise sheet 1 <a href="stuff/TalTech_Category_Theory_Exercises_I.pdf">[PDF]</a> (Deadline: 23:59 on 18 March 2024)</li>
<li>Exercise sheet 2 <a href="stuff/TalTech_Category_Theory_Exercises_II.pdf">[PDF]</a> (Deadline: 23:59 on 18 March 2024)</li>
</ul></p> -->
<!-- <hr> -->
<h2>Grading</h2>
<p>The grade will be assigned based on two exercise sheets assigned during the lecture course, and a final oral exam.</p>
<p>For the final exam, you will choose a topic from a list, and give a short presentation about it.</p>
<hr>
<p class="caption">
<img src="stuff/arch-cat.jpg" alt="l'Arche-Chat" class="center"></img><br>
Victor Brauner, <em>Arche-chat</em>, 1948, <br>
Herbert F. Johnson Museum of Art<br>
(Cornell University), Ithaca, NY, US.
</p>
</body>
</div>
</html>