diff --git a/changelog.d/11210.feature b/changelog.d/11210.feature
new file mode 100644
index 0000000000..8f8e386415
--- /dev/null
+++ b/changelog.d/11210.feature
@@ -0,0 +1 @@
+Calculate a default value for `public_baseurl` based on `server_name`.
diff --git a/docs/sample_config.yaml b/docs/sample_config.yaml
index c3a4148f74..d48c08f1d9 100644
--- a/docs/sample_config.yaml
+++ b/docs/sample_config.yaml
@@ -91,6 +91,8 @@ pid_file: DATADIR/homeserver.pid
 # Otherwise, it should be the URL to reach Synapse's client HTTP listener (see
 # 'listeners' below).
 #
+# Defaults to 'https://<server_name>/'.
+#
 #public_baseurl: https://example.com/
 
 # Uncomment the following to tell other servers to send federation traffic on
@@ -1265,7 +1267,7 @@ oembed:
 # in on this server.
 #
 # (By default, no suggestion is made, so it is left up to the client.
-# This setting is ignored unless public_baseurl is also set.)
+# This setting is ignored unless public_baseurl is also explicitly set.)
 #
 #default_identity_server: https://matrix.org
 
@@ -1290,8 +1292,6 @@ oembed:
 # by the Matrix Identity Service API specification:
 # https://matrix.org/docs/spec/identity_service/latest
 #
-# If a delegate is specified, the config option public_baseurl must also be filled out.
-#
 account_threepid_delegates:
     #email: https://example.com     # Delegate email sending to example.com
     #msisdn: http://localhost:8090  # Delegate SMS sending to this local process
@@ -1981,11 +1981,10 @@ sso:
     # phishing attacks from evil.site. To avoid this, include a slash after the
     # hostname: "https://my.client/".
     #
-    # If public_baseurl is set, then the login fallback page (used by clients
-    # that don't natively support the required login flows) is whitelisted in
-    # addition to any URLs in this list.
+    # The login fallback page (used by clients that don't natively support the
+    # required login flows) is whitelisted in addition to any URLs in this list.
     #
-    # By default, this list is empty.
+    # By default, this list contains only the login fallback page.
     #
     #client_whitelist:
     #  - https://riot.im/develop
diff --git a/synapse/api/urls.py b/synapse/api/urls.py
index 6e84b1524f..4486b3bc7d 100644
--- a/synapse/api/urls.py
+++ b/synapse/api/urls.py
@@ -38,9 +38,6 @@ class ConsentURIBuilder:
     def __init__(self, hs_config: HomeServerConfig):
         if hs_config.key.form_secret is None:
             raise ConfigError("form_secret not set in config")
-        if hs_config.server.public_baseurl is None:
-            raise ConfigError("public_baseurl not set in config")
-
         self._hmac_secret = hs_config.key.form_secret.encode("utf-8")
         self._public_baseurl = hs_config.server.public_baseurl
 
diff --git a/synapse/config/account_validity.py b/synapse/config/account_validity.py
index b56c2a24df..c533452cab 100644
--- a/synapse/config/account_validity.py
+++ b/synapse/config/account_validity.py
@@ -75,10 +75,6 @@ class AccountValidityConfig(Config):
                 self.account_validity_period * 10.0 / 100.0
             )
 
-        if self.account_validity_renew_by_email_enabled:
-            if not self.root.server.public_baseurl:
-                raise ConfigError("Can't send renewal emails without 'public_baseurl'")
-
         # Load account validity templates.
         account_validity_template_dir = account_validity_config.get("template_dir")
         if account_validity_template_dir is not None:
diff --git a/synapse/config/cas.py b/synapse/config/cas.py
index 9b58ecf3d8..3f81814043 100644
--- a/synapse/config/cas.py
+++ b/synapse/config/cas.py
@@ -16,7 +16,7 @@ from typing import Any, List
 
 from synapse.config.sso import SsoAttributeRequirement
 
-from ._base import Config, ConfigError
+from ._base import Config
 from ._util import validate_config
 
 
@@ -35,14 +35,10 @@ class CasConfig(Config):
         if self.cas_enabled:
             self.cas_server_url = cas_config["server_url"]
 
-            # The public baseurl is required because it is used by the redirect
-            # template.
-            public_baseurl = self.root.server.public_baseurl
-            if not public_baseurl:
-                raise ConfigError("cas_config requires a public_baseurl to be set")
-
             # TODO Update this to a _synapse URL.
+            public_baseurl = self.root.server.public_baseurl
             self.cas_service_url = public_baseurl + "_matrix/client/r0/login/cas/ticket"
+
             self.cas_displayname_attribute = cas_config.get("displayname_attribute")
             required_attributes = cas_config.get("required_attributes") or {}
             self.cas_required_attributes = _parsed_required_attributes_def(
diff --git a/synapse/config/emailconfig.py b/synapse/config/emailconfig.py
index 8ff59aa2f8..afd65fecd3 100644
--- a/synapse/config/emailconfig.py
+++ b/synapse/config/emailconfig.py
@@ -186,11 +186,6 @@ class EmailConfig(Config):
             if not self.email_notif_from:
                 missing.append("email.notif_from")
 
-            # public_baseurl is required to build password reset and validation links that
-            # will be emailed to users
-            if config.get("public_baseurl") is None:
-                missing.append("public_baseurl")
-
             if missing:
                 raise ConfigError(
                     MISSING_PASSWORD_RESET_CONFIG_ERROR % (", ".join(missing),)
@@ -296,9 +291,6 @@ class EmailConfig(Config):
             if not self.email_notif_from:
                 missing.append("email.notif_from")
 
-            if config.get("public_baseurl") is None:
-                missing.append("public_baseurl")
-
             if missing:
                 raise ConfigError(
                     "email.enable_notifs is True but required keys are missing: %s"
diff --git a/synapse/config/oidc.py b/synapse/config/oidc.py
index 10f5796330..42f113cd24 100644
--- a/synapse/config/oidc.py
+++ b/synapse/config/oidc.py
@@ -59,8 +59,6 @@ class OIDCConfig(Config):
                 )
 
         public_baseurl = self.root.server.public_baseurl
-        if public_baseurl is None:
-            raise ConfigError("oidc_config requires a public_baseurl to be set")
         self.oidc_callback_url = public_baseurl + "_synapse/client/oidc/callback"
 
     @property
diff --git a/synapse/config/registration.py b/synapse/config/registration.py
index a3d2a38c4c..5379e80715 100644
--- a/synapse/config/registration.py
+++ b/synapse/config/registration.py
@@ -45,17 +45,6 @@ class RegistrationConfig(Config):
         account_threepid_delegates = config.get("account_threepid_delegates") or {}
         self.account_threepid_delegate_email = account_threepid_delegates.get("email")
         self.account_threepid_delegate_msisdn = account_threepid_delegates.get("msisdn")
-        if (
-            self.account_threepid_delegate_msisdn
-            and not self.root.server.public_baseurl
-        ):
-            raise ConfigError(
-                "The configuration option `public_baseurl` is required if "
-                "`account_threepid_delegate.msisdn` is set, such that "
-                "clients know where to submit validation tokens to. Please "
-                "configure `public_baseurl`."
-            )
-
         self.default_identity_server = config.get("default_identity_server")
         self.allow_guest_access = config.get("allow_guest_access", False)
 
@@ -240,7 +229,7 @@ class RegistrationConfig(Config):
         # in on this server.
         #
         # (By default, no suggestion is made, so it is left up to the client.
-        # This setting is ignored unless public_baseurl is also set.)
+        # This setting is ignored unless public_baseurl is also explicitly set.)
         #
         #default_identity_server: https://matrix.org
 
@@ -265,8 +254,6 @@ class RegistrationConfig(Config):
         # by the Matrix Identity Service API specification:
         # https://matrix.org/docs/spec/identity_service/latest
         #
-        # If a delegate is specified, the config option public_baseurl must also be filled out.
-        #
         account_threepid_delegates:
             #email: https://example.com     # Delegate email sending to example.com
             #msisdn: http://localhost:8090  # Delegate SMS sending to this local process
diff --git a/synapse/config/saml2.py b/synapse/config/saml2.py
index 9c51b6a25a..ba2b0905ff 100644
--- a/synapse/config/saml2.py
+++ b/synapse/config/saml2.py
@@ -199,14 +199,11 @@ class SAML2Config(Config):
         """
         import saml2
 
-        public_baseurl = self.root.server.public_baseurl
-        if public_baseurl is None:
-            raise ConfigError("saml2_config requires a public_baseurl to be set")
-
         if self.saml2_grandfathered_mxid_source_attribute:
             optional_attributes.add(self.saml2_grandfathered_mxid_source_attribute)
         optional_attributes -= required_attributes
 
+        public_baseurl = self.root.server.public_baseurl
         metadata_url = public_baseurl + "_synapse/client/saml2/metadata.xml"
         response_url = public_baseurl + "_synapse/client/saml2/authn_response"
         return {
diff --git a/synapse/config/server.py b/synapse/config/server.py
index a387fd9310..7bc0030a9e 100644
--- a/synapse/config/server.py
+++ b/synapse/config/server.py
@@ -16,6 +16,7 @@ import itertools
 import logging
 import os.path
 import re
+import urllib.parse
 from textwrap import indent
 from typing import Any, Dict, Iterable, List, Optional, Set, Tuple, Union
 
@@ -264,10 +265,44 @@ class ServerConfig(Config):
         self.use_frozen_dicts = config.get("use_frozen_dicts", False)
         self.serve_server_wellknown = config.get("serve_server_wellknown", False)
 
-        self.public_baseurl = config.get("public_baseurl")
-        if self.public_baseurl is not None:
-            if self.public_baseurl[-1] != "/":
-                self.public_baseurl += "/"
+        # Whether we should serve a "client well-known":
+        #  (a) at .well-known/matrix/client on our client HTTP listener
+        #  (b) in the response to /login
+        #
+        # ... which together help ensure that clients use our public_baseurl instead of
+        # whatever they were told by the user.
+        #
+        # For the sake of backwards compatibility with existing installations, this is
+        # True if public_baseurl is specified explicitly, and otherwise False. (The
+        # reasoning here is that we have no way of knowing that the default
+        # public_baseurl is actually correct for existing installations - many things
+        # will not work correctly, but that's (probably?) better than sending clients
+        # to a completely broken URL.
+        self.serve_client_wellknown = False
+
+        public_baseurl = config.get("public_baseurl")
+        if public_baseurl is None:
+            public_baseurl = f"https://{self.server_name}/"
+            logger.info("Using default public_baseurl %s", public_baseurl)
+        else:
+            self.serve_client_wellknown = True
+            if public_baseurl[-1] != "/":
+                public_baseurl += "/"
+        self.public_baseurl = public_baseurl
+
+        # check that public_baseurl is valid
+        try:
+            splits = urllib.parse.urlsplit(self.public_baseurl)
+        except Exception as e:
+            raise ConfigError(f"Unable to parse URL: {e}", ("public_baseurl",))
+        if splits.scheme not in ("https", "http"):
+            raise ConfigError(
+                f"Invalid scheme '{splits.scheme}': only https and http are supported"
+            )
+        if splits.query or splits.fragment:
+            raise ConfigError(
+                "public_baseurl cannot contain query parameters or a #-fragment"
+            )
 
         # Whether to enable user presence.
         presence_config = config.get("presence") or {}
@@ -773,6 +808,8 @@ class ServerConfig(Config):
         # Otherwise, it should be the URL to reach Synapse's client HTTP listener (see
         # 'listeners' below).
         #
+        # Defaults to 'https://<server_name>/'.
+        #
         #public_baseurl: https://example.com/
 
         # Uncomment the following to tell other servers to send federation traffic on
diff --git a/synapse/config/sso.py b/synapse/config/sso.py
index 11a9b76aa0..60aacb13ea 100644
--- a/synapse/config/sso.py
+++ b/synapse/config/sso.py
@@ -101,13 +101,10 @@ class SSOConfig(Config):
         # gracefully to the client). This would make it pointless to ask the user for
         # confirmation, since the URL the confirmation page would be showing wouldn't be
         # the client's.
-        # public_baseurl is an optional setting, so we only add the fallback's URL to the
-        # list if it's provided (because we can't figure out what that URL is otherwise).
-        if self.root.server.public_baseurl:
-            login_fallback_url = (
-                self.root.server.public_baseurl + "_matrix/static/client/login"
-            )
-            self.sso_client_whitelist.append(login_fallback_url)
+        login_fallback_url = (
+            self.root.server.public_baseurl + "_matrix/static/client/login"
+        )
+        self.sso_client_whitelist.append(login_fallback_url)
 
     def generate_config_section(self, **kwargs):
         return """\
@@ -128,11 +125,10 @@ class SSOConfig(Config):
             # phishing attacks from evil.site. To avoid this, include a slash after the
             # hostname: "https://my.client/".
             #
-            # If public_baseurl is set, then the login fallback page (used by clients
-            # that don't natively support the required login flows) is whitelisted in
-            # addition to any URLs in this list.
+            # The login fallback page (used by clients that don't natively support the
+            # required login flows) is whitelisted in addition to any URLs in this list.
             #
-            # By default, this list is empty.
+            # By default, this list contains only the login fallback page.
             #
             #client_whitelist:
             #  - https://riot.im/develop
diff --git a/synapse/handlers/identity.py b/synapse/handlers/identity.py
index 6a315117ba..3dbe611f95 100644
--- a/synapse/handlers/identity.py
+++ b/synapse/handlers/identity.py
@@ -537,10 +537,6 @@ class IdentityHandler:
         except RequestTimedOutError:
             raise SynapseError(500, "Timed out contacting identity server")
 
-        # It is already checked that public_baseurl is configured since this code
-        # should only be used if account_threepid_delegate_msisdn is true.
-        assert self.hs.config.server.public_baseurl
-
         # we need to tell the client to send the token back to us, since it doesn't
         # otherwise know where to send it, so add submit_url response parameter
         # (see also MSC2078)
diff --git a/synapse/rest/well_known.py b/synapse/rest/well_known.py
index edbf5ce5d0..04b035a1b1 100644
--- a/synapse/rest/well_known.py
+++ b/synapse/rest/well_known.py
@@ -34,8 +34,7 @@ class WellKnownBuilder:
         self._config = hs.config
 
     def get_well_known(self) -> Optional[JsonDict]:
-        # if we don't have a public_baseurl, we can't help much here.
-        if self._config.server.public_baseurl is None:
+        if not self._config.server.serve_client_wellknown:
             return None
 
         result = {"m.homeserver": {"base_url": self._config.server.public_baseurl}}
diff --git a/tests/push/test_email.py b/tests/push/test_email.py
index fa8018e5a7..90f800e564 100644
--- a/tests/push/test_email.py
+++ b/tests/push/test_email.py
@@ -65,7 +65,7 @@ class EmailPusherTests(HomeserverTestCase):
             "notif_from": "test@example.com",
             "riot_base_url": None,
         }
-        config["public_baseurl"] = "aaa"
+        config["public_baseurl"] = "http://aaa"
         config["start_pushers"] = True
 
         hs = self.setup_test_homeserver(config=config)
diff --git a/tests/rest/client/test_consent.py b/tests/rest/client/test_consent.py
index 84d092ca82..fcdc565814 100644
--- a/tests/rest/client/test_consent.py
+++ b/tests/rest/client/test_consent.py
@@ -35,7 +35,6 @@ class ConsentResourceTestCase(unittest.HomeserverTestCase):
     def make_homeserver(self, reactor, clock):
 
         config = self.default_config()
-        config["public_baseurl"] = "aaaa"
         config["form_secret"] = "123abc"
 
         # Make some temporary templates...
diff --git a/tests/rest/client/test_register.py b/tests/rest/client/test_register.py
index 66dcfc9f88..6e7c0f11df 100644
--- a/tests/rest/client/test_register.py
+++ b/tests/rest/client/test_register.py
@@ -891,7 +891,6 @@ class AccountValidityRenewalByEmailTestCase(unittest.HomeserverTestCase):
             "smtp_pass": None,
             "notif_from": "test@example.com",
         }
-        config["public_baseurl"] = "aaa"
 
         self.hs = self.setup_test_homeserver(config=config)