<?xml version="1.0" encoding="utf-8"?>
<?xml-stylesheet type="text/xsl" href="../assets/xml/rss.xsl" media="all"?><rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Lean community blog (Posts about Toric)</title><link>https://leanprover-community.github.io/blog/</link><description></description><atom:link href="https://leanprover-community.github.io/blog/categories/toric.xml" rel="self" type="application/rss+xml"></atom:link><language>en</language><copyright>Contents © 2026 &lt;a href="mailto:"&gt;The Lean prover community&lt;/a&gt; </copyright><lastBuildDate>Thu, 21 May 2026 01:16:04 GMT</lastBuildDate><generator>Nikola (getnikola.com)</generator><docs>http://blogs.law.harvard.edu/tech/rss</docs><item><title>The correspondence between affine group schemes and Hopf algebras</title><link>https://leanprover-community.github.io/blog/posts/affine-group-schemes-hopf-algebra/</link><dc:creator>Yaël Dillies, Michał Mrugała, Andrew Yang</dc:creator><description>&lt;div&gt;&lt;p&gt;This February saw the birth of the &lt;a href="https://github.com/YaelDillies/Toric"&gt;&lt;strong&gt;Toric&lt;/strong&gt;&lt;/a&gt; project,
whose aim is to build the theory of toric varieties
following &lt;em&gt;Toric Varieties&lt;/em&gt; by Cox, Little and Schenck.&lt;/p&gt;
&lt;p&gt;We soon discovered that toric varieties contained tori, and that Mathlib didn't.&lt;/p&gt;
&lt;p&gt;This blog post is a double announcement:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;The unexpected prerequisite of algebraic tori was recently cleared;&lt;/li&gt;
&lt;li&gt;We are looking for contributors to help with the second phase of the project,
  i.e. toric geometry and its relation to convex geometry.&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;a href="https://leanprover-community.github.io/blog/posts/affine-group-schemes-hopf-algebra/"&gt;Read more…&lt;/a&gt; (9 min remaining to read)&lt;/p&gt;&lt;/div&gt;</description><category>algebraic geometry</category><category>Toric</category><guid>https://leanprover-community.github.io/blog/posts/affine-group-schemes-hopf-algebra/</guid><pubDate>Tue, 24 Jun 2025 16:40:00 GMT</pubDate></item></channel></rss>