The international airport of Seville is about 12 km from the city center. Seville Airport is served by 23 airlines with flights to 38 national and international destinations.
From the airport to the city:
Seville is connected with Madrid through the High-speed rail AVE. The train station of Seville is located about 4 km of the venue and it is located inside the city. From the train station to your accomodation you can take a bus (the bus stop is just in front of the train station) or go by taxi (taxis are just in front of the main door of the train station) or you can rent a car.
The venue is about 20 minutes walk from the city center so ff your accommodation is in a walking distance from the venue, then enjoy the walk. Otherwise, the cheapest way to get the venue is by bus: buses of lines C1 and C2 stop just in front of the venue.
You can find a description of the available bus, tramp and metro networks in seville here http://www.andalucia.com/cities/seville/gettingaround/bus_tram.htm