feat: add homepage with hero and post listing

app/page.tsx

@@ -1,65 +1,25 @@
-import Image from "next/image";
+import { getPosts } from '@/lib/posts'
+import { PostList } from '@/components/blog/PostList'
+
+export default async function HomePage() {
+  const posts = await getPosts()
 
-export default function Home() {
   return (
-    <div className="flex flex-col flex-1 items-center justify-center bg-zinc-50 font-sans dark:bg-black">
+    <main className="max-w-4xl mx-auto px-6 py-16">
-      <main className="flex flex-1 w-full max-w-3xl flex-col items-center justify-between py-32 px-16 bg-white dark:bg-black sm:items-start">
+      <header className="mb-20 text-center">
-        <Image
+        <h1 className="font-sans text-5xl font-extrabold tracking-tight text-ink mb-4">
-          className="dark:invert"
+          blog
-          src="/next.svg"
-          alt="Next.js logo"
-          width={100}
-          height={20}
-          priority
-        />
-        <div className="flex flex-col items-center gap-6 text-center sm:items-start sm:text-left">
-          <h1 className="max-w-xs text-3xl font-semibold leading-10 tracking-tight text-black dark:text-zinc-50">
-            To get started, edit the page.tsx file.
         </h1>
-          <p className="max-w-md text-lg leading-8 text-zinc-600 dark:text-zinc-400">
+        <p className="text-ink-soft text-lg">
-            Looking for a starting point or more instructions? Head over to{" "}
+          A sleek static blog with code and math.
-            <a
-              href="https://vercel.com/templates?framework=next.js&utm_source=create-next-app&utm_medium=appdir-template-tw&utm_campaign=create-next-app"
-              className="font-medium text-zinc-950 dark:text-zinc-50"
-            >
-              Templates
-            </a>{" "}
-            or the{" "}
-            <a
-              href="https://nextjs.org/learn?utm_source=create-next-app&utm_medium=appdir-template-tw&utm_campaign=create-next-app"
-              className="font-medium text-zinc-950 dark:text-zinc-50"
-            >
-              Learning
-            </a>{" "}
-            center.
         </p>
-        </div>
+      </header>
-        <div className="flex flex-col gap-4 text-base font-medium sm:flex-row">
+      <section>
-          <a
+        <h2 className="font-sans text-2xl font-semibold tracking-tight text-ink mb-8">
-            className="flex h-12 w-full items-center justify-center gap-2 rounded-full bg-foreground px-5 text-background transition-colors hover:bg-[#383838] dark:hover:bg-[#ccc] md:w-[158px]"
+          Latest Posts
-            href="https://vercel.com/new?utm_source=create-next-app&utm_medium=appdir-template-tw&utm_campaign=create-next-app"
+        </h2>
-            target="_blank"
+        <PostList posts={posts} />
-            rel="noopener noreferrer"
+      </section>
-          >
-            <Image
-              className="dark:invert"
-              src="/vercel.svg"
-              alt="Vercel logomark"
-              width={16}
-              height={16}
-            />
-            Deploy Now
-          </a>
-          <a
-            className="flex h-12 w-full items-center justify-center rounded-full border border-solid border-black/[.08] px-5 transition-colors hover:border-transparent hover:bg-black/[.04] dark:border-white/[.145] dark:hover:bg-[#1a1a1a] md:w-[158px]"
-            href="https://nextjs.org/docs?utm_source=create-next-app&utm_medium=appdir-template-tw&utm_campaign=create-next-app"
-            target="_blank"
-            rel="noopener noreferrer"
-          >
-            Documentation
-          </a>
-        </div>
     </main>
-    </div>
+  )
-  );
 }