It is also referred to as Navratri and Durgotsav. It is also written as Dashahara, Dussehra Bengali: দশেরা, Kannada: ದಸರ,Malayalam: ദസറ, Konkani: दसरो, Marathi: दसरा, Oriya:ଦଶହରା, Telugu: దసరా, Punjabi: ਦਸੇਰਾ and Dashain in Nepal.
Vijayadashmi or Dussehra is celebrated on the tenth day of the Hindu autumn lunar month of Ashvin, or Ashwayuja which falls in September or October of the Western calendar, from the Shukla Paksha Pratipada, or the day after the new moon which falls in Bhadrapada, to the Dashami, or the tenth day of Ashvin. The first nine days are celebrated as Maha Navratri(Sanskrit: नवरात्रि, 'nine nights') or Sharada Navratri (the most important Navratri) and culminates on the tenth day as Dasara.
The day marks the victory of Goddess Durga over such demons as Mahishasur. It is a day when devotees worship Goddess Shakti. Shakti represents strength, ability and courage. This day also celebrates the victory of Lord Rama over the demon king Ravana.[1]
In India, the harvest season begins at this time and so the Mother Goddess is invoked to start the new harvest season and reactivate the vigor and fertility of the soil. This is done through religious performances and rituals which are thought to invoke cosmic forces that rejuvenate the soil. Many people of the Hindu faith observe Dasara through social gatherings and food offerings to the gods at home and in temples throughout Nepal and India.
ref:http://en.wikipedia.org/wiki/Vijayadashami