To locate the places mentioned below just type geocodes like "Q6GV+JP Baden-Baden" into the search field of Google Maps.
The Hohenbaden Castle ruin is located at Q6GV+JP Baden-Baden. Bus 244 from Leopoldsplatz takes 7 minutes to bus stop "Ebersteinburg Kapelle". From there take a 30-minute walk uphill. (Instead take a taxi directly to the castle, taking 13 minutes from downtown Baden-Baden.) A 15-minute walk takes you from Hohenbaden Castle to Battertfelsen cliff. Both castle ruin and cliff offer beautiful views of Baden-Baden and the Black Forest.
The Merkur hill at Q77J+V2 Baden-Baden offers a nice view and can be easily reached by funicular. An excavated site on the hill top shows a Roman ritual place dedicated to worship the god Mercurius. Bus lines 204 and 205 take 13 minutes from Leopoldsplatz to stop "Merkurwald" at the valley station of the funicular. Walking from Hohenbaden Castle to the valley station takes 1 hour (4 km). It is easy to hike on Merkur hill as well, it takes 1 h from the valley station or 1 h 40' from Hohenbaden Castle.
Right next to the conference site you find the Kurpark gardens, stretching along Lichtentaler Allee and the small river Oos. Walking downstream you see the Kurhaus (Q66P+4G Baden-Baden) with the famous casino (Q66P+2C Baden-Baden) (where Dostoyevsky gambled) and the Trinkhalle (Q66P+PM Baden-Baden).
Walking upstream for 25 minutes you'll arrive at Lichtenthal monastery (P7W4+3C Baden-Baden). This walk can also be done in the evening when it is dark, because there are streetlights. The monastery is roughly 800 years old and still operated by nuns from the Cistercian Order. While the shops close at 5:30 p.m., you can still enter the yard to see the buildings from outside after 5:30 p.m.
Walking north from the conference site you reach the downtown area of Baden-Baden. You'll find many hotels with year-1900 Belle Époque architecture (see left pictures of Leopoldsplatz (Q66Q+CX Baden-Baden) and Friedrichsbad spa (Q67R+5R Baden-Baden) and small lanes (pictures show Rathausstaffeln at Q67R+26 Baden-Baden and Jesuitenstaffeln with statue of Karlsruhe-born Russian zaress Yelizaveta Alexeevna (Q66R+V7 Baden-Baden)). The next-to-last picture shows the new castle (Q67R+PW Baden-Baden), first built in the 14th century, the current building is from the 18th century.
Near Friedrichsbad you find a well where you can drink the thermal water from the hot spring supplying the spas (Q67V+92 Baden-Baden). You can swim in Caracalla Therme (Q67V+GR Baden-Baden), which is open fro 8 a.m. to 10 p.m.. Nearby is the excavation site of the Roman baths (last picture above), the entrance at Römerplatz 1 is a bit hidden in a parking garage (Q67R+6X Baden-Baden). The site features detailed excavation finds of Roman floor heatings.
Other highlights are the Russian orthodox church (Q63V+HQ Baden-Baden), which you reach by a 10-minute walk southward from the conference site, and the Geroldsauer Wasserfall (P66X+PM Baden-Baden), which is a waterfall reachable by a nice 25-minute walk from bus stop "Malschbach" of bus no. 204 or by a 1 h 30' walk from Baden-Baden.