When you travel to Heidelberg, it is most convenient to first go to your hotel. The conference venue is not in the city center! But...
On Sunday evening there will be an informal welcome get-together at the new Aula of Heidelberg University. This building is right in in the center of the old town, very near by the Hauptstrasse where all the restaurants are. You are very welcome to come, meet up with old friends, and already register and get your stuff, so that you don't have to worry about that on Monday. Please refer for details about this get-together here.
Starting on Monday morning, bus transport will be arranged from your hotel or from a central location to the venue and back (more info here). Here we give information about your travel to Heidelberg.
The closest airport is Frankfurt International Airport (FRA). From there, you can take the train to Heidelberg. Note that there are two train stations at the airport: one for regional trains and one for long-distance trains (the latter is called Fernbahnhof). From the regional train station you can take the train to Frankfurt am Main Hauptbahnhof (the main station of the city of Frankfurt itself), and from there you can take a direct train to Heidelberg. Or you take the ICE train from Frankfurt Flughafen Fernbahnhof to Mannheim (30 minutes), and then from there take the regional train to Heidelberg (15 minutes).
You can also reserve a shuttle bus from TLS. This will be more convenient, as it will bring you straight to your hotel.
The easiest and most convenient train connection to Heidelberg is by ICE train to Mannheim, and then by regional train from Mannheim to Heidelberg (15 minutes). Sometimes an ICE train also goes straight to Heidelberg. You can check out train connections (and book your ticket) on bahn.de.
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Heidelberg University and MPIA