Former president of Ukraine was very pro-Russia. Did not want to bring Ukraine into the European Union and the “West”, wanted to align closer with Russia. Protestors in Kiev did not want that; they wanted to become more European. Former president began firing on protestors until eventually his parliament turned against him and he was ousted. Opposition forces have taken over in Ukraine and aim to orient Ukraine more toward the rest of Europe.
As a result, areas of Ukraine with many ethnic Russians, especially the Crimea, which has always been highly autonomous and full of ethnic Russians, have resisted the change of government in Kiev. They wish to align closer with Russia. Russia has meanwhile authorized the sending of troops to the Crimea to protect ethnic Russians there and the Russian Black Sea fleet, which is stationed in the Ukrainian city of Sebastopol.
So, basically, it seems like people are predicting either Crimea and southeastern Ukraine may secede and become their own country or become part of Russia. They are also predicting Russia’s intervention in Ukraine will re-ignite the Cold War and cause an all-out civil war in Ukraine.